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2steps_easy_all_81
C
[['rotate', 30], ['translate', [-10, 30]]]
easy
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0, 0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "edgecolor": "black", "center": [0, 0], "size": 33.91542727345086}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_81.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_81.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_81.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_81.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_81.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_81.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_81.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_81.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_81.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_81.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_81.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_81.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_81.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_81.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_81.png", "instructions": [["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "C", "hard": "D"}
2steps_easy_all_14
D
[['translate', [-30, -30]], ['translate', [-30, -10]]]
easy
{"instance_id": 14, "shape_A": {"name": "hexagon", "facecolor": [0.8671389723518831, 0.6479406086588688, 0.95739164910812], "edgecolor": "black", "center": [0, 0], "size": 33.62968673347874}, "shape_B": {"name": "pentagon", "facecolor": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084], "edgecolor": "black", "center": [0, 0], "size": 31.058684714609925}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_14.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_14.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_14.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_14.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_14.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_14.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_14.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_14.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_14.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_14.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_14.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_14.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_14.png", "instructions": [["translate", [-30, -30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D"}
2steps_easy_all_94
D
[['shear', [-0.5007056566684591, -0.5675947174691485]], ['translate', [-10, 10]]]
easy
{"instance_id": 94, "shape_A": {"name": "circle", "facecolor": [0.9765537444270052, 0.9710444512291023, 0.9541063546237598], "edgecolor": "black", "center": [0, 0], "size": 31.091000202671506}, "shape_B": {"name": "rectangle", "facecolor": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885], "edgecolor": "black", "center": [0, 0], "size": [30.14639088858486, 20.540474755398535]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_94.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_94.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_94.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_94.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_94.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_94.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_94.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_94.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_94.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_94.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_94.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_94.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_94.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_94.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_94.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_94.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_94.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_94.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_94.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_94.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_94.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_94.png", "instructions": [["shear", [-0.5007056566684591, -0.5675947174691485]], ["translate", [-10, 10]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "D"}, "text_instructions": "N/A"}
{"easy": "D", "medium": "B", "hard": "D"}
2steps_easy_all_17
A
[['shear', [0.4986696180547221, -0.27962270481169504]], ['rotate', -30]]
easy
{"instance_id": 17, "shape_A": {"name": "ellipse", "facecolor": [0.6286354255493629, 0.8201213913057186, 0.2076376009651929], "edgecolor": "black", "center": [0, 0], "size": [30.806676137152706, 21.421902724023525]}, "shape_B": {"name": "pentagon", "facecolor": [0.14537441621593594, 0.03243209173527761, 0.5780927154273869], "edgecolor": "black", "center": [0, 0], "size": 33.499234080127216}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_17.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_17.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_17.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_17.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_17.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_17.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_17.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_17.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_17.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_17.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_17.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_17.png", "instructions": [["shear", [0.4986696180547221, -0.27962270481169504]], ["rotate", -30]], "correct_answer": {"easy": "A"}, "text_instructions": "N/A"}
{"easy": "A"}
2steps_easy_all_116
D
[['rotate', -90], ['scale', 0.5]]
easy
{"instance_id": 116, "shape_A": {"name": "hexagon", "facecolor": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166], "edgecolor": "black", "center": [0, 0], "size": 31.733249454367854}, "shape_B": {"name": "rectangle", "facecolor": [0.9984367810079988, 0.43255898543761095, 0.767455259870214], "edgecolor": "black", "center": [0, 0], "size": [30.04667739523437, 20.34563245259622]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_116.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_116.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_116.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_116.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_116.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_116.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_116.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_116.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_116.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_116.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_116.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_116.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_116.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_116.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_116.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "hard": "D"}
2steps_easy_all_13
B
[['translate', [-30, -10]], ['flip', 'vertical']]
easy
{"instance_id": 13, "shape_A": {"name": "hexagon", "facecolor": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693], "edgecolor": "black", "center": [0, 0], "size": 34.819273780987736}, "shape_B": {"name": "circle", "facecolor": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218], "edgecolor": "black", "center": [0, 0], "size": 33.166202337945485}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_13.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_13.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_13.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_13.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_13.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_13.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_13.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_13.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_13.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_13.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_13.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_13.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_13.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_13.png", "instructions": [["translate", [-30, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "B"}
2steps_easy_all_86
A
[['translate', [10, -30]], ['translate', [-30, -10]]]
easy
{"instance_id": 86, "shape_A": {"name": "triangle", "facecolor": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781], "edgecolor": "black", "center": [0, 0], "size": 33.15901807135325}, "shape_B": {"name": "circle", "facecolor": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239], "edgecolor": "black", "center": [0, 0], "size": 34.65910153062388}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_86.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_86.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_86.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_86.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_86.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_86.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_86.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_86.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_86.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_86.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_86.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_86.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_86.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_86.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_86.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_86.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_86.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_86.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_86.png", "instructions": [["translate", [10, -30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and significantly downward. <shapeB_step_0>\n- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C", "hard": "B"}
2steps_easy_all_111
A
[['shear', [-0.05056976333856911, 0.28613870174604195]], ['translate', [10, 10]]]
easy
{"instance_id": 111, "shape_A": {"name": "hexagon", "facecolor": [0.9402600816039058, 0.5650056198842929, 0.7912172784330742], "edgecolor": "black", "center": [0, 0], "size": 31.178048166546166}, "shape_B": {"name": "square", "facecolor": [0.18962645346688867, 0.9480661254117279, 0.04927026843919724], "edgecolor": "black", "center": [0, 0], "size": 31.011058393345735}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_111.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_111.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_111.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_111.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_111.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_111.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_111.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_111.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_111.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_111.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_111.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_111.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_111.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_111.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_111.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_111.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_111.png", "instructions": [["shear", [-0.05056976333856911, 0.28613870174604195]], ["translate", [10, 10]]], "correct_answer": {"easy": "A", "medium": "A"}, "text_instructions": "N/A"}
{"easy": "A", "medium": "A"}
2steps_easy_all_69
D
[['shear', [-0.8666126204507754, 0.798708102484952]], ['shear', [0.44781756593490285, 0.6781981230731879]]]
easy
{"instance_id": 69, "shape_A": {"name": "circle", "facecolor": [0.5730369040509169, 0.49826536059543347, 0.6391582858066321], "edgecolor": "black", "center": [0, 0], "size": 33.002323060294884}, "shape_B": {"name": "ellipse", "facecolor": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043], "edgecolor": "black", "center": [0, 0], "size": [30.087811182016278, 20.956048996909857]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_69.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_69.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_69.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_69.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_69.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_69.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_69.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_69.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_69.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_69.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_69.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_69.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_69.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_69.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_69.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_69.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_69.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_69.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_69.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_69.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_69.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_69.png", "instructions": [["shear", [-0.8666126204507754, 0.798708102484952]], ["shear", [0.44781756593490285, 0.6781981230731879]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "N/A"}
{"easy": "D", "medium": "C", "hard": "D"}
2steps_easy_all_11
A
[['translate', [10, 30]], ['scale', 0.5]]
easy
{"instance_id": 11, "shape_A": {"name": "ellipse", "facecolor": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046], "edgecolor": "black", "center": [0, 0], "size": [34.59015534670558, 23.523169726100182]}, "shape_B": {"name": "triangle", "facecolor": [0.740944798920008, 0.7594932952262566, 0.8671889705502257], "edgecolor": "black", "center": [0, 0], "size": 32.2822433356404}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_11.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_11.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_11.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_11.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_11.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_11.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_11.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_11.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_11.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_11.png", "instructions": [["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and significantly upward. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "D"}
2steps_easy_all_75
D
[['translate', [-30, 10]], ['rotate', -60]]
easy
{"instance_id": 75, "shape_A": {"name": "ellipse", "facecolor": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156], "edgecolor": "black", "center": [0, 0], "size": [32.94666450665948, 22.631616809247262]}, "shape_B": {"name": "triangle", "facecolor": [0.954358485726285, 0.20291821457172288, 0.057020052366765106], "edgecolor": "black", "center": [0, 0], "size": 33.61190948775844}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_75.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_75.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_75.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_75.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_75.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_75.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_75.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_75.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_75.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_75.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_75.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_75.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_75.png", "instructions": [["translate", [-30, 10]], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "B"}
2steps_easy_all_54
B
[['rotate', -30], ['translate', [-30, 30]]]
easy
{"instance_id": 54, "shape_A": {"name": "triangle", "facecolor": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861], "edgecolor": "black", "center": [0, 0], "size": 30.660095839496893}, "shape_B": {"name": "hexagon", "facecolor": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571], "edgecolor": "black", "center": [0, 0], "size": 30.809495634983044}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_54.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_54.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_54.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_54.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_54.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_54.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_54.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_54.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_54.png", "instructions": [["rotate", -30], ["translate", [-30, 30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "A"}
2steps_easy_all_117
A
[['translate', [30, -30]], ['scale', 0.5]]
easy
{"instance_id": 117, "shape_A": {"name": "ellipse", "facecolor": [0.7218298009143069, 0.237713172425009, 0.5423320422772745], "edgecolor": "black", "center": [0, 0], "size": [32.0013952532714, 22.21799979044379]}, "shape_B": {"name": "hexagon", "facecolor": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084], "edgecolor": "black", "center": [0, 0], "size": 30.937540461929405}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_117.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_117.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_117.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_117.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_117.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_117.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_117.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_117.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_117.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_117.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_117.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_117.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_117.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_117.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_117.png", "instructions": [["translate", [30, -30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "B"}
2steps_easy_all_27
D
[['translate', [-30, 0]], ['translate', [-30, 30]]]
easy
{"instance_id": 27, "shape_A": {"name": "square", "facecolor": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622], "edgecolor": "black", "center": [0, 0], "size": 34.695084533859536}, "shape_B": {"name": "pentagon", "facecolor": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006], "edgecolor": "black", "center": [0, 0], "size": 33.02170844938151}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_27.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_27.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_27.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_27.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_27.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_27.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_27.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_27.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_27.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_27.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_27.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_27.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_27.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_27.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_27.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_27.png", "instructions": [["translate", [-30, 0]], ["translate", [-30, 30]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D"}
2steps_easy_all_29
B
[['rotate', -60], ['rotate', 90]]
easy
{"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0, 0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996], "edgecolor": "black", "center": [0, 0], "size": 34.533338833150864}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_29.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_29.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_29.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_29.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_29.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_29.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_29.png", "instructions": [["rotate", -60], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "A"}
2steps_easy_all_64
B
[['rotate', 90], ['shear', [-0.7600039308987219, -0.6921630886393852]]]
easy
{"instance_id": 64, "shape_A": {"name": "ellipse", "facecolor": [0.8564475965576949, 0.42258744511749025, 0.7001587954524333], "edgecolor": "black", "center": [0, 0], "size": [33.38083017231202, 24.398299232677743]}, "shape_B": {"name": "square", "facecolor": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555], "edgecolor": "black", "center": [0, 0], "size": 33.812683003758195}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_64.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_64.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_64.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_64.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_64.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_64.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_64.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_64.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_64.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_64.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_64.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_64.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_64.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_64.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_64.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_64.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_64.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_64.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_64.png", "instructions": [["rotate", 90], ["shear", [-0.7600039308987219, -0.6921630886393852]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "N/A"}
{"easy": "B", "medium": "B", "hard": "C"}
2steps_easy_all_102
A
[['translate', [30, 10]], ['translate', [0, -10]]]
easy
{"instance_id": 102, "shape_A": {"name": "square", "facecolor": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564], "edgecolor": "black", "center": [0, 0], "size": 31.84968651398539}, "shape_B": {"name": "triangle", "facecolor": [0.858802885279082, 0.5077896100031754, 0.7118055904962444], "edgecolor": "black", "center": [0, 0], "size": 31.084125545409112}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_102.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_102.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_102.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_102.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_102.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_102.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_102.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_102.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_102.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_102.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_102.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_102.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_102.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_102.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_102.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_102.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_102.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_102.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_102.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_102.png", "instructions": [["translate", [30, 10]], ["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C", "hard": "D"}
2steps_easy_all_71
B
[['translate', [-30, -30]], ['translate', [-10, -10]]]
easy
{"instance_id": 71, "shape_A": {"name": "hexagon", "facecolor": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467], "edgecolor": "black", "center": [0, 0], "size": 33.456912336587195}, "shape_B": {"name": "circle", "facecolor": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694], "edgecolor": "black", "center": [0, 0], "size": 32.02122189228387}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_71.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_71.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_71.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_71.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_71.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_71.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_71.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_71.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_71.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_71.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_71.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_71.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_71.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_71.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_71.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_71.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_71.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_71.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "C"}
2steps_easy_all_25
D
[['scale', 0.5], ['rotate', 90]]
easy
{"instance_id": 25, "shape_A": {"name": "ellipse", "facecolor": [0.6810664843571737, 0.25428803449433146, 0.602149326937957], "edgecolor": "black", "center": [0, 0], "size": [32.11472429952858, 24.148747825133484]}, "shape_B": {"name": "hexagon", "facecolor": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475], "edgecolor": "black", "center": [0, 0], "size": 31.26435617699611}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_25.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_25.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_25.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_25.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_25.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_25.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_25.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_25.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_25.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_25.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_25.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_25.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_25.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_25.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_25.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_25.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_25.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_25.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_25.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_25.png", "instructions": [["scale", 0.5], ["rotate", 90]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "D"}
2steps_easy_all_91
B
[['translate', [30, -30]], ['shear', [0.7669553078996998, 0.516983394248947]]]
easy
{"instance_id": 91, "shape_A": {"name": "circle", "facecolor": [0.6566410128654991, 0.41859109896940905, 0.15486328561727236], "edgecolor": "black", "center": [0, 0], "size": 32.352401836653904}, "shape_B": {"name": "triangle", "facecolor": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128], "edgecolor": "black", "center": [0, 0], "size": 32.23428220693197}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_91.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_91.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_91.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_91.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_91.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_91.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_91.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_91.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_91.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_91.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_91.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_91.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_91.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_91.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_91.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_91.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_91.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_91.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_91.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_91.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_91.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_91.png", "instructions": [["translate", [30, -30]], ["shear", [0.7669553078996998, 0.516983394248947]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "N/A"}
{"easy": "B", "medium": "A", "hard": "A"}
2steps_easy_all_83
D
[['rotate', 30], ['scale', 0.5]]
easy
{"instance_id": 83, "shape_A": {"name": "square", "facecolor": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744], "edgecolor": "black", "center": [0, 0], "size": 34.17672188229552}, "shape_B": {"name": "hexagon", "facecolor": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676], "edgecolor": "black", "center": [0, 0], "size": 34.29911704400656}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_83.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_83.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_83.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_83.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_83.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_83.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_83.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_83.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_83.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_83.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_83.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_83.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_83.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_83.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_83.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_83.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_83.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C"}
2steps_easy_all_89
B
[['translate', [30, -10]], ['translate', [10, 30]]]
easy
{"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379], "edgecolor": "black", "center": [0, 0], "size": 34.580039808982136}, "shape_B": {"name": "rectangle", "facecolor": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329], "edgecolor": "black", "center": [0, 0], "size": [30.118784938666483, 23.606510574636424]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_89.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_89.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_89.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_89.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_89.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_89.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_89.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_89.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_89.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_89.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_89.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_89.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_89.png", "instructions": [["translate", [30, -10]], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the rectangle a little to the right and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "D"}
2steps_easy_all_107
C
[['translate', [-10, 0]], ['rotate', 30]]
easy
{"instance_id": 107, "shape_A": {"name": "ellipse", "facecolor": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949], "edgecolor": "black", "center": [0, 0], "size": [34.033434761006156, 22.14444038381347]}, "shape_B": {"name": "circle", "facecolor": [0.5524449592789532, 0.739848035268453, 0.27790397963115987], "edgecolor": "black", "center": [0, 0], "size": 32.98325167636279}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_107.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_107.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_107.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_107.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_107.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_107.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_107.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_107.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_107.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_107.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_107.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_107.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_107.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_107.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_107.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_107.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_107.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_107.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_107.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_107.png", "instructions": [["translate", [-10, 0]], ["rotate", 30]], "correct_answer": {"easy": "C", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the left. <shapeB_step_0>\n- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "B", "hard": "D"}
2steps_easy_all_113
C
[['rotate', -90], ['rotate', -30]]
easy
{"instance_id": 113, "shape_A": {"name": "rectangle", "facecolor": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856], "edgecolor": "black", "center": [0, 0], "size": [30.868187468576263, 21.258376675122513]}, "shape_B": {"name": "triangle", "facecolor": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826], "edgecolor": "black", "center": [0, 0], "size": 31.93697587729519}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_113.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_113.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_113.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_113.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_113.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_113.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_113.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_113.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_113.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_113.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_113.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_113.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_113.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_113.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_113.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_113.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_113.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_113.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_113.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_113.png", "instructions": [["rotate", -90], ["rotate", -30]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "B"}
2steps_easy_all_57
B
[['translate', [-10, 30]], ['translate', [-10, 30]]]
easy
{"instance_id": 57, "shape_A": {"name": "square", "facecolor": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575], "edgecolor": "black", "center": [0, 0], "size": 32.647300805864646}, "shape_B": {"name": "hexagon", "facecolor": [0.396029667470992, 0.8729681752351013, 0.003848845673840251], "edgecolor": "black", "center": [0, 0], "size": 32.08964924672437}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_57.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_57.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_57.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_57.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_57.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_57.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_57.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_57.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_57.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_57.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_57.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_57.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_57.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_57.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_57.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_57.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_57.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_57.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_57.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_57.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_57.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_57.png", "instructions": [["translate", [-10, 30]], ["translate", [-10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the left and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "D"}
2steps_easy_all_105
A
[['scale', 0.5], ['translate', [-30, -30]]]
easy
{"instance_id": 105, "shape_A": {"name": "circle", "facecolor": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485], "edgecolor": "black", "center": [0, 0], "size": 33.0318196447995}, "shape_B": {"name": "hexagon", "facecolor": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532], "edgecolor": "black", "center": [0, 0], "size": 32.85885673029304}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_105.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_105.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_105.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_105.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_105.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_105.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_105.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_105.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_105.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_105.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_105.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_105.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_105.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_105.png", "instructions": [["scale", 0.5], ["translate", [-30, -30]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "B"}
2steps_easy_all_115
B
[['translate', [-10, -10]], ['rotate', 60]]
easy
{"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076], "edgecolor": "black", "center": [0, 0], "size": 30.351615522514766}, "shape_B": {"name": "rectangle", "facecolor": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011], "edgecolor": "black", "center": [0, 0], "size": [30.654204961769885, 22.17193081035603]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_115.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_115.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_115.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_115.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_115.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_115.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_115.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_115.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_115.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_115.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_115.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_115.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_115.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_115.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_115.png", "instructions": [["translate", [-10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and slightly downward. <shapeB_step_0>\n- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "B"}
2steps_easy_all_0
B
[['scale', 0.5], ['translate', [30, 0]]]
easy
{"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [0, 0], "size": 33.018630156834455}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [0, 0], "size": 33.49069697494114}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_0.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_0.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_0.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_0.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_0.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_0.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_0.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_0.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_0.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5], ["translate", [30, 0]]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Shift the circle to the right by a significant amount. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C"}
2steps_easy_all_104
D
[['translate', [-30, -10]], ['shear', [-0.5181440805647459, 0.5988762646278858]]]
easy
{"instance_id": 104, "shape_A": {"name": "circle", "facecolor": [0.41123353951714947, 0.39814344686190595, 0.0432357428635195], "edgecolor": "black", "center": [0, 0], "size": 33.62011616356989}, "shape_B": {"name": "triangle", "facecolor": [0.7628349151130451, 0.2505467120832887, 0.32586324462113425], "edgecolor": "black", "center": [0, 0], "size": 34.51710212038183}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_104.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_104.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_104.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_104.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_104.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_104.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_104.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_104.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_104.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_104.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_104.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_104.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_104.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_104.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_104.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_104.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_104.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_104.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_104.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_104.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_104.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_104.png", "instructions": [["translate", [-30, -10]], ["shear", [-0.5181440805647459, 0.5988762646278858]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "C"}, "text_instructions": "N/A"}
{"easy": "D", "medium": "D", "hard": "C"}
2steps_easy_all_43
C
[['rotate', -60], ['translate', [10, -10]]]
easy
{"instance_id": 43, "shape_A": {"name": "square", "facecolor": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364], "edgecolor": "black", "center": [0, 0], "size": 30.672575199287046}, "shape_B": {"name": "hexagon", "facecolor": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138], "edgecolor": "black", "center": [0, 0], "size": 31.49796820561388}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_43.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_43.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_43.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_43.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_43.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_43.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_43.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_43.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_43.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_43.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_43.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_43.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_43.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_43.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_43.png", "instructions": [["rotate", -60], ["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "B", "hard": "A"}
2steps_easy_all_85
A
[['rotate', -90], ['translate', [30, -10]]]
easy
{"instance_id": 85, "shape_A": {"name": "hexagon", "facecolor": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597], "edgecolor": "black", "center": [0, 0], "size": 34.47163565153358}, "shape_B": {"name": "circle", "facecolor": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732], "edgecolor": "black", "center": [0, 0], "size": 34.8724312658239}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_85.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_85.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_85.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_85.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_85.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_85.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_85.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_85.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_85.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_85.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_85.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_85.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_85.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_85.png", "instructions": [["rotate", -90], ["translate", [30, -10]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "D"}
2steps_easy_all_100
D
[['rotate', 90], ['shear', [0.750947136802024, -0.8252777553834298]]]
easy
{"instance_id": 100, "shape_A": {"name": "hexagon", "facecolor": [0.7728522492039008, 0.4820394331587632, 0.007291379381697549], "edgecolor": "black", "center": [0, 0], "size": 34.88008937762428}, "shape_B": {"name": "rectangle", "facecolor": [0.8784949647411008, 0.6416827635745962, 0.2586982573029857], "edgecolor": "black", "center": [0, 0], "size": [30.942444622014822, 23.608077861635483]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_100.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_100.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_100.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_100.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_100.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_100.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_100.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_100.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_100.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_100.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_100.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_100.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_100.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_100.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_100.png", "instructions": [["rotate", 90], ["shear", [0.750947136802024, -0.8252777553834298]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "N/A"}
{"easy": "D", "medium": "A", "hard": "B"}
2steps_easy_all_119
C
[['rotate', 60], ['translate', [30, 10]]]
easy
{"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004], "edgecolor": "black", "center": [0, 0], "size": 31.759976635722538}, "shape_B": {"name": "circle", "facecolor": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847], "edgecolor": "black", "center": [0, 0], "size": 33.75065211216586}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_119.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_119.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_119.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_119.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_119.png", "instructions": [["rotate", 60], ["translate", [30, 10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "D"}
2steps_easy_all_101
C
[['translate', [10, -30]], ['translate', [-10, 0]]]
easy
{"instance_id": 101, "shape_A": {"name": "rectangle", "facecolor": [0.008981558192268757, 0.9166664011286465, 0.5050242899246621], "edgecolor": "black", "center": [0, 0], "size": [32.68920971753934, 23.22743674000318]}, "shape_B": {"name": "ellipse", "facecolor": [0.044870105594161824, 0.8026445564168357, 0.404462470449673], "edgecolor": "black", "center": [0, 0], "size": [33.653755384270276, 22.561451605297073]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_101.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_101.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_101.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_101.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_101.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_101.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_101.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_101.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_101.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_101.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_101.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_101.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_101.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_101.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_101.png", "instructions": [["translate", [10, -30]], ["translate", [-10, 0]]], "correct_answer": {"easy": "C", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right and significantly downward. <shapeB_step_0>\n- Shift the ellipse a little to the left. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "A", "hard": "D"}
2steps_medium_all_8
D
[['shear', [0.7774490561738154, -0.9758659752177816]], ['translate', [0, -30]]]
medium
{"instance_id": 8, "shape_A": {"name": "hexagon", "facecolor": [0.7910766611980661, 0.24778637496357891, 0.6446205681878977], "edgecolor": "black", "center": [0, 0], "size": 30.94323261632933}, "shape_B": {"name": "circle", "facecolor": [0.6103192392738179, 0.16411654979064627, 0.3511877188267709], "edgecolor": "black", "center": [0, 0], "size": 31.424604050031665}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_8.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_8.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_8.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_8.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_8.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_8.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_8.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_8.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_8.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_8.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_8.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_8.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_8.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_8.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_8.png", "instructions": [["shear", [0.7774490561738154, -0.9758659752177816]], ["translate", [0, -30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "A"}, "text_instructions": "N/A"}
{"easy": "C", "medium": "D", "hard": "A"}
2steps_medium_all_5
C
[['translate', [30, 0]], ['scale', 0.5]]
medium
{"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653], "edgecolor": "black", "center": [0, 0], "size": [32.57752866073627, 21.63982923818263]}, "shape_B": {"name": "hexagon", "facecolor": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997], "edgecolor": "black", "center": [0, 0], "size": 33.06534060532339}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_5.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_5.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_5.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_5.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_5.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_5.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_5.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_5.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_5.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_5.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_5.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_5.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_5.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_5.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_5.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_5.png", "instructions": [["translate", [30, 0]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C"}
2steps_medium_all_29
C
[['rotate', -60], ['rotate', 90]]
medium
{"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0, 0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996], "edgecolor": "black", "center": [0, 0], "size": 34.533338833150864}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_29.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_29.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_29.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_29.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_29.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_29.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_29.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_29.png", "instructions": [["rotate", -60], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "A"}
2steps_medium_all_98
B
[['translate', [-30, -10]], ['translate', [-10, 0]]]
medium
{"instance_id": 98, "shape_A": {"name": "ellipse", "facecolor": [0.8970940726076202, 0.33045794963254105, 0.767542057392423], "edgecolor": "black", "center": [0, 0], "size": [33.58914232667937, 20.617897771545824]}, "shape_B": {"name": "rectangle", "facecolor": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526], "edgecolor": "black", "center": [0, 0], "size": [33.319408228599045, 21.211001990341508]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_98.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_98.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_98.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_98.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_98.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_98.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_98.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_98.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_98.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_98.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_98.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_98.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_98.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_98.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_98.png", "instructions": [["translate", [-30, -10]], ["translate", [-10, 0]]], "correct_answer": {"easy": "A", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the rectangle a little to the left. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "B", "hard": "D"}
2steps_medium_all_37
C
[['shear', [-0.4446608092227684, -0.6201078819254822]], ['shear', [0.8946617819606824, -0.680358700642852]]]
medium
{"instance_id": 37, "shape_A": {"name": "circle", "facecolor": [0.763412479229923, 0.31347467411992613, 0.9990974273157817], "edgecolor": "black", "center": [0, 0], "size": 34.94881066941658}, "shape_B": {"name": "triangle", "facecolor": [0.9234460204560432, 0.8464816059560561, 0.9722760647776848], "edgecolor": "black", "center": [0, 0], "size": 33.9568755335139}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_37.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_37.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_37.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_37.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_37.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_37.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_37.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_37.png", "instructions": [["shear", [-0.4446608092227684, -0.6201078819254822]], ["shear", [0.8946617819606824, -0.680358700642852]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "A"}, "text_instructions": "N/A"}
{"easy": "A", "medium": "C", "hard": "A"}
2steps_medium_all_10
C
[['scale', 0.5], ['shear', [0.7706405067902746, -0.8225479748597473]]]
medium
{"instance_id": 10, "shape_A": {"name": "circle", "facecolor": [0.33656107114080447, 0.3226032043729101, 0.9758606713824263], "edgecolor": "black", "center": [0, 0], "size": 32.86417396335309}, "shape_B": {"name": "triangle", "facecolor": [0.5619773096856504, 0.8896002168122321, 0.6137089862450346], "edgecolor": "black", "center": [0, 0], "size": 30.910408780067737}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_10.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_10.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_10.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_10.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_10.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_10.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_10.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_10.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_10.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_10.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_10.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_10.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_10.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_10.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_10.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_10.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_10.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_10.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_10.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_10.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_10.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_10.png", "instructions": [["scale", 0.5], ["shear", [0.7706405067902746, -0.8225479748597473]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "C"}, "text_instructions": "N/A"}
{"easy": "A", "medium": "C", "hard": "C"}
2steps_medium_all_12
C
[['translate', [-30, -10]], ['flip', 'horizontal']]
medium
{"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799], "edgecolor": "black", "center": [0, 0], "size": [32.147048615045605, 22.14512724300205]}, "shape_B": {"name": "square", "facecolor": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001], "edgecolor": "black", "center": [0, 0], "size": 33.926054528488564}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_12.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_12.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_12.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_12.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_12.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_12.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_12.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_12.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_12.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_12.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_12.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_12.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_12.png", "instructions": [["translate", [-30, -10]], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "C"}
2steps_medium_all_48
A
[['translate', [30, 0]], ['translate', [10, -10]]]
medium
{"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.5668746151748413, 0.614809201762814, 0.7409945757086595], "edgecolor": "black", "center": [0, 0], "size": [33.266598335046034, 23.512351250803153]}, "shape_B": {"name": "square", "facecolor": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746], "edgecolor": "black", "center": [0, 0], "size": 31.18136031751098}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_48.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_48.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_48.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_48.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_48.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_48.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_48.png", "instructions": [["translate", [30, 0]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the right by a significant amount. <shapeB_step_0>\n- Shift the square a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "A"}
2steps_medium_all_58
A
[['rotate', 30], ['scale', 0.5]]
medium
{"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0, 0], "size": 32.97502196345081}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437], "edgecolor": "black", "center": [0, 0], "size": 33.71756415794952}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_58.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_58.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_58.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_58.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_58.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_58.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_58.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "A"}
2steps_medium_all_81
C
[['rotate', 30], ['translate', [-10, 30]]]
medium
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0, 0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "edgecolor": "black", "center": [0, 0], "size": 33.91542727345086}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_81.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_81.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_81.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_81.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_81.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_81.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_81.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_81.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_81.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_81.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_81.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_81.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_81.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_81.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_81.png", "instructions": [["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "C", "hard": "D"}
2steps_medium_all_46
B
[['rotate', -60], ['translate', [10, -30]]]
medium
{"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.8957184739058375, 0.4406495499811689, 0.598835708808161], "edgecolor": "black", "center": [0, 0], "size": [32.37069677274037, 21.922365908439833]}, "shape_B": {"name": "circle", "facecolor": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426], "edgecolor": "black", "center": [0, 0], "size": 32.4604705246161}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_46.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_46.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_46.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_46.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_46.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_46.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_46.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_46.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_46.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_46.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_46.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_46.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_46.png", "instructions": [["rotate", -60], ["translate", [10, -30]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the right and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "B", "hard": "D"}
2steps_medium_all_47
B
[['rotate', -60], ['translate', [-30, -30]]]
medium
{"instance_id": 47, "shape_A": {"name": "square", "facecolor": [0.6823387267082941, 0.7924052345565082, 0.36868091711306583], "edgecolor": "black", "center": [0, 0], "size": 31.341612199366306}, "shape_B": {"name": "hexagon", "facecolor": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074], "edgecolor": "black", "center": [0, 0], "size": 34.13234210816125}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_47.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_47.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_47.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_47.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_47.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_47.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_47.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_47.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_47.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_47.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_47.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_47.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_47.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_47.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_47.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_47.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_47.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_47.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_47.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_47.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_47.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_47.png", "instructions": [["rotate", -60], ["translate", [-30, -30]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "B", "hard": "C"}
2steps_medium_all_45
B
[['translate', [30, 0]], ['translate', [-10, -10]]]
medium
{"instance_id": 45, "shape_A": {"name": "ellipse", "facecolor": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219], "edgecolor": "black", "center": [0, 0], "size": [32.86020752447745, 22.42693061479845]}, "shape_B": {"name": "hexagon", "facecolor": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155], "edgecolor": "black", "center": [0, 0], "size": 34.23715857734047}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_45.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_45.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_45.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_45.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_45.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_45.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_45.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_45.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_45.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_45.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_45.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_45.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_45.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_45.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_45.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_45.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_45.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_45.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_45.png", "instructions": [["translate", [30, 0]], ["translate", [-10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount. <shapeB_step_0>\n- Shift the hexagon a little to the left and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "B", "hard": "A"}
2steps_medium_all_85
A
[['rotate', -90], ['translate', [30, -10]]]
medium
{"instance_id": 85, "shape_A": {"name": "hexagon", "facecolor": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597], "edgecolor": "black", "center": [0, 0], "size": 34.47163565153358}, "shape_B": {"name": "circle", "facecolor": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732], "edgecolor": "black", "center": [0, 0], "size": 34.8724312658239}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_85.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_85.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_85.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_85.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_85.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_85.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_85.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_85.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_85.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_85.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_85.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_85.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_85.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_85.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_85.png", "instructions": [["rotate", -90], ["translate", [30, -10]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "D"}
2steps_medium_all_34
B
[['scale', 0.5], ['scale', 2.0]]
medium
{"instance_id": 34, "shape_A": {"name": "ellipse", "facecolor": [0.9896430783887331, 0.3734743596330379, 0.5657145935088911], "edgecolor": "black", "center": [0, 0], "size": [30.561674629590005, 20.791119590349158]}, "shape_B": {"name": "triangle", "facecolor": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796], "edgecolor": "black", "center": [0, 0], "size": 32.79145321922705}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_34.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_34.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_34.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_34.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_34.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_34.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_34.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_34.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_34.png", "instructions": [["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "A", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n- Increase the size of the triangle, making it larger. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "B", "hard": "D"}
2steps_medium_all_89
B
[['translate', [30, -10]], ['translate', [10, 30]]]
medium
{"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379], "edgecolor": "black", "center": [0, 0], "size": 34.580039808982136}, "shape_B": {"name": "rectangle", "facecolor": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329], "edgecolor": "black", "center": [0, 0], "size": [30.118784938666483, 23.606510574636424]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_89.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_89.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_89.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_89.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_89.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_89.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_89.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_89.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_89.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_89.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_89.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_89.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_89.png", "instructions": [["translate", [30, -10]], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the rectangle a little to the right and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "D"}
2steps_medium_all_82
D
[['shear', [0.9307359349196269, -0.8260288094435935]], ['rotate', 90]]
medium
{"instance_id": 82, "shape_A": {"name": "ellipse", "facecolor": [0.018472102364985865, 0.949090066546378, 0.2785418802793902], "edgecolor": "black", "center": [0, 0], "size": [32.387879540114746, 24.48611555042166]}, "shape_B": {"name": "hexagon", "facecolor": [0.8017101626967196, 0.2188108822675794, 0.9735660125970901], "edgecolor": "black", "center": [0, 0], "size": 33.41839536232097}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_82.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_82.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_82.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_82.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_82.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_82.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_82.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_82.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_82.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_82.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_82.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_82.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_82.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_82.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_82.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_82.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_82.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_82.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_82.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_82.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_82.png", "instructions": [["shear", [0.9307359349196269, -0.8260288094435935]], ["rotate", 90]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "N/A"}
{"easy": "D", "medium": "D", "hard": "B"}
2steps_medium_all_9
A
[['translate', [10, 0]], ['rotate', 60]]
medium
{"instance_id": 9, "shape_A": {"name": "pentagon", "facecolor": [0.6771833769890718, 0.2601667927212239, 0.9906766204079072], "edgecolor": "black", "center": [0, 0], "size": 30.059784615847065}, "shape_B": {"name": "square", "facecolor": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082], "edgecolor": "black", "center": [0, 0], "size": 32.02196113223587}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_9.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_9.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_9.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_9.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_9.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_9.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_9.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_9.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_9.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_9.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_9.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_9.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_9.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_9.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_9.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_9.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_9.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_9.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_9.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_9.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_9.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_9.png", "instructions": [["translate", [10, 0]], ["rotate", 60]], "correct_answer": {"easy": "C", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the right. <shapeB_step_0>\n- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "A", "hard": "B"}
2steps_medium_all_105
A
[['scale', 0.5], ['translate', [-30, -30]]]
medium
{"instance_id": 105, "shape_A": {"name": "circle", "facecolor": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485], "edgecolor": "black", "center": [0, 0], "size": 33.0318196447995}, "shape_B": {"name": "hexagon", "facecolor": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532], "edgecolor": "black", "center": [0, 0], "size": 32.85885673029304}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_105.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_105.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_105.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_105.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_105.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_105.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_105.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_105.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_105.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_105.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_105.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_105.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_105.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_105.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_105.png", "instructions": [["scale", 0.5], ["translate", [-30, -30]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "B"}
2steps_medium_all_21
D
[['rotate', 30], ['translate', [0, 10]]]
medium
{"instance_id": 21, "shape_A": {"name": "square", "facecolor": [0.9794869379377804, 0.8486162610031903, 0.7370783133705054], "edgecolor": "black", "center": [0, 0], "size": 32.085687290472556}, "shape_B": {"name": "triangle", "facecolor": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787], "edgecolor": "black", "center": [0, 0], "size": 34.69482238017692}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_21.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_21.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_21.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_21.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_21.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_21.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_21.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_21.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_21.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_21.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_21.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_21.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_21.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_21.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_21.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_21.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_21.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_21.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_21.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_21.png", "instructions": [["rotate", 30], ["translate", [0, 10]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the triangle slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "A"}
2steps_medium_all_68
D
[['translate', [0, -10]], ['translate', [30, -30]]]
medium
{"instance_id": 68, "shape_A": {"name": "ellipse", "facecolor": [0.26726579155818575, 0.5950126088090331, 0.6456888734266008], "edgecolor": "black", "center": [0, 0], "size": [30.386934029224793, 22.99371048487331]}, "shape_B": {"name": "hexagon", "facecolor": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387], "edgecolor": "black", "center": [0, 0], "size": 33.53032851614379}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_68.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_68.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_68.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_68.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_68.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_68.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_68.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_68.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_68.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_68.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_68.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_68.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_68.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_68.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_68.png", "instructions": [["translate", [0, -10]], ["translate", [30, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon slightly downward. <shapeB_step_0>\n- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "B"}
2steps_medium_all_59
C
[['shear', [-0.010693041130111602, -0.14880262654422394]], ['translate', [30, 30]]]
medium
{"instance_id": 59, "shape_A": {"name": "pentagon", "facecolor": [0.1662241421752928, 0.8288994719226118, 0.8994708180124464], "edgecolor": "black", "center": [0, 0], "size": 32.361507126570814}, "shape_B": {"name": "hexagon", "facecolor": [0.28746985892219046, 0.7286541562355917, 0.21816136018654242], "edgecolor": "black", "center": [0, 0], "size": 33.58565575551736}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_59.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_59.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_59.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_59.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_59.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_59.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_59.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_59.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_59.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_59.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_59.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_59.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_59.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_59.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_59.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_59.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_59.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_59.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_59.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_59.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_59.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_59.png", "instructions": [["shear", [-0.010693041130111602, -0.14880262654422394]], ["translate", [30, 30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "N/A"}
{"easy": "B", "medium": "C", "hard": "C"}
2steps_medium_all_108
A
[['rotate', 90], ['translate', [30, 10]]]
medium
{"instance_id": 108, "shape_A": {"name": "rectangle", "facecolor": [0.8767270681615356, 0.6443444692776149, 0.8974879587435582], "edgecolor": "black", "center": [0, 0], "size": [30.623976282115695, 20.868938986027434]}, "shape_B": {"name": "circle", "facecolor": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864], "edgecolor": "black", "center": [0, 0], "size": 33.799072093140424}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_108.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_108.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_108.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_108.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_108.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_108.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_108.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_108.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_108.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_108.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_108.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_108.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_108.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_108.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_108.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_108.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_108.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_108.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_108.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_108.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_108.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_108.png", "instructions": [["rotate", 90], ["translate", [30, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "D"}
2steps_medium_all_115
B
[['translate', [-10, -10]], ['rotate', 60]]
medium
{"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076], "edgecolor": "black", "center": [0, 0], "size": 30.351615522514766}, "shape_B": {"name": "rectangle", "facecolor": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011], "edgecolor": "black", "center": [0, 0], "size": [30.654204961769885, 22.17193081035603]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_115.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_115.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_115.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_115.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_115.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_115.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_115.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_115.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_115.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_115.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_115.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_115.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_115.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_115.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_115.png", "instructions": [["translate", [-10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and slightly downward. <shapeB_step_0>\n- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "B"}
2steps_medium_all_92
C
[['translate', [10, 30]], ['scale', 0.5]]
medium
{"instance_id": 92, "shape_A": {"name": "square", "facecolor": [0.19287782128184894, 0.6503740782221056, 0.8587783933000264], "edgecolor": "black", "center": [0, 0], "size": 31.72195463686491}, "shape_B": {"name": "rectangle", "facecolor": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285], "edgecolor": "black", "center": [0, 0], "size": [34.62233889140585, 22.24081109921563]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_92.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_92.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_92.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_92.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_92.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_92.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_92.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_92.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_92.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_92.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_92.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_92.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_92.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_92.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_92.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_92.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_92.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_92.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_92.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_92.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_92.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_92.png", "instructions": [["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the right and significantly upward. <shapeB_step_0>\n- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "C", "hard": "B"}
2steps_medium_all_71
B
[['translate', [-30, -30]], ['translate', [-10, -10]]]
medium
{"instance_id": 71, "shape_A": {"name": "hexagon", "facecolor": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467], "edgecolor": "black", "center": [0, 0], "size": 33.456912336587195}, "shape_B": {"name": "circle", "facecolor": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694], "edgecolor": "black", "center": [0, 0], "size": 32.02122189228387}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_71.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_71.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_71.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_71.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_71.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_71.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_71.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_71.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_71.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_71.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_71.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_71.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_71.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_71.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_71.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_71.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_71.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_71.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "C"}
2steps_medium_all_28
C
[['scale', 0.5], ['shear', [-0.22355400213362464, -0.07544285551979302]]]
medium
{"instance_id": 28, "shape_A": {"name": "circle", "facecolor": [0.4607411493207819, 0.9861433094237815, 0.9784837607743315], "edgecolor": "black", "center": [0, 0], "size": 34.387043113840235}, "shape_B": {"name": "rectangle", "facecolor": [0.9398294696507321, 0.9716806454117107, 0.48825899541074513], "edgecolor": "black", "center": [0, 0], "size": [30.213377871387216, 24.88715818687777]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_28.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_28.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_28.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_28.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_28.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_28.png", "answer_choices": {"medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_28.png"}, "individual_answer_choices_path": {"medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_28.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_28.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_28.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_28.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_28.png", "instructions": [["scale", 0.5], ["shear", [-0.22355400213362464, -0.07544285551979302]]], "correct_answer": {"medium": "C"}, "text_instructions": "N/A"}
{"medium": "C"}
2steps_medium_all_7
D
[['rotate', 30], ['scale', 0.5]]
medium
{"instance_id": 7, "shape_A": {"name": "square", "facecolor": [0.4553326352258771, 0.2068673262083145, 0.48292599877938847], "edgecolor": "black", "center": [0, 0], "size": 34.792313108669745}, "shape_B": {"name": "triangle", "facecolor": [0.31890947421770044, 0.3002640831819403, 0.8101859369186981], "edgecolor": "black", "center": [0, 0], "size": 30.922258875756967}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_7.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_7.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_7.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_7.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_7.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_7.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_7.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_7.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_7.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_7.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_7.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_7.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_7.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_7.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_7.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_7.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_7.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D"}
2steps_medium_all_111
A
[['shear', [-0.05056976333856911, 0.28613870174604195]], ['translate', [10, 10]]]
medium
{"instance_id": 111, "shape_A": {"name": "hexagon", "facecolor": [0.9402600816039058, 0.5650056198842929, 0.7912172784330742], "edgecolor": "black", "center": [0, 0], "size": 31.178048166546166}, "shape_B": {"name": "square", "facecolor": [0.18962645346688867, 0.9480661254117279, 0.04927026843919724], "edgecolor": "black", "center": [0, 0], "size": 31.011058393345735}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_111.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_111.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_111.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_111.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_111.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_111.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_111.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_111.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_111.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_111.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_111.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_111.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_111.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_111.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_111.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_111.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_111.png", "instructions": [["shear", [-0.05056976333856911, 0.28613870174604195]], ["translate", [10, 10]]], "correct_answer": {"easy": "A", "medium": "A"}, "text_instructions": "N/A"}
{"easy": "A", "medium": "A"}
2steps_medium_all_40
A
[['translate', [-10, -30]], ['flip', 'horizontal']]
medium
{"instance_id": 40, "shape_A": {"name": "hexagon", "facecolor": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783], "edgecolor": "black", "center": [0, 0], "size": 32.54417513685558}, "shape_B": {"name": "triangle", "facecolor": [0.468926302758369, 0.9565237556255114, 0.577043455530469], "edgecolor": "black", "center": [0, 0], "size": 30.111125984559706}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_40.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_40.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_40.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_40.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_40.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_40.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_40.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_40.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_40.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_40.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_40.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_40.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_40.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_40.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_40.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_40.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_40.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_40.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_40.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_40.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_40.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_40.png", "instructions": [["translate", [-10, -30]], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and significantly downward. <shapeB_step_0>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "B"}
2steps_medium_all_51
D
[['translate', [30, -30]], ['translate', [10, 0]]]
medium
{"instance_id": 51, "shape_A": {"name": "circle", "facecolor": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901], "edgecolor": "black", "center": [0, 0], "size": 31.55807893463633}, "shape_B": {"name": "ellipse", "facecolor": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509], "edgecolor": "black", "center": [0, 0], "size": [31.636633103351482, 22.941760952071057]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_51.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_51.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_51.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_51.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_51.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_51.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_51.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_51.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_51.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_51.png", "instructions": [["translate", [30, -30]], ["translate", [10, 0]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the ellipse a little to the right. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "A"}
2steps_medium_all_99
D
[['scale', 0.5], ['translate', [0, 30]]]
medium
{"instance_id": 99, "shape_A": {"name": "pentagon", "facecolor": [0.8107740739172836, 0.6835251513964927, 0.36242459883378175], "edgecolor": "black", "center": [0, 0], "size": 30.46117443685049}, "shape_B": {"name": "circle", "facecolor": [0.2198677286788273, 0.6355703459608453, 0.1217812002839539], "edgecolor": "black", "center": [0, 0], "size": 31.135408052008145}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_99.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_99.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_99.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_99.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_99.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_99.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_99.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_99.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_99.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_99.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_99.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_99.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_99.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_99.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_99.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_99.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_99.png", "instructions": [["scale", 0.5], ["translate", [0, 30]]], "correct_answer": {"easy": "C", "medium": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Shift the circle significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D"}
2steps_medium_all_119
D
[['rotate', 60], ['translate', [30, 10]]]
medium
{"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004], "edgecolor": "black", "center": [0, 0], "size": 31.759976635722538}, "shape_B": {"name": "circle", "facecolor": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847], "edgecolor": "black", "center": [0, 0], "size": 33.75065211216586}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_119.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_119.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_119.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_119.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_119.png", "instructions": [["rotate", 60], ["translate", [30, 10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "D"}
2steps_medium_all_27
D
[['translate', [-30, 0]], ['translate', [-30, 30]]]
medium
{"instance_id": 27, "shape_A": {"name": "square", "facecolor": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622], "edgecolor": "black", "center": [0, 0], "size": 34.695084533859536}, "shape_B": {"name": "pentagon", "facecolor": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006], "edgecolor": "black", "center": [0, 0], "size": 33.02170844938151}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_27.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_27.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_27.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_27.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_27.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_27.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_27.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_27.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_27.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_27.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_27.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_27.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_27.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_27.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_27.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_27.png", "instructions": [["translate", [-30, 0]], ["translate", [-30, 30]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D"}
2steps_hard_all_33
A
[['rotate', -90], ['scale', 0.5]]
hard
{"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879], "edgecolor": "black", "center": [0, 0], "size": 34.75179440329846}, "shape_B": {"name": "circle", "facecolor": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713], "edgecolor": "black", "center": [0, 0], "size": 34.63720275598545}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_33.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_33.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_33.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_33.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_33.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_33.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_33.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_33.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_33.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_33.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_33.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_33.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_33.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_33.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_33.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "A"}
2steps_hard_all_54
A
[['rotate', -30], ['translate', [-30, 30]]]
hard
{"instance_id": 54, "shape_A": {"name": "triangle", "facecolor": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861], "edgecolor": "black", "center": [0, 0], "size": 30.660095839496893}, "shape_B": {"name": "hexagon", "facecolor": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571], "edgecolor": "black", "center": [0, 0], "size": 30.809495634983044}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_54.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_54.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_54.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_54.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_54.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_54.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_54.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_54.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_54.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_54.png", "instructions": [["rotate", -30], ["translate", [-30, 30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "A"}
2steps_hard_all_114
B
[['rotate', -90], ['translate', [-30, 0]]]
hard
{"instance_id": 114, "shape_A": {"name": "rectangle", "facecolor": [0.16505748449207713, 0.9283558712255602, 0.6209840218807274], "edgecolor": "black", "center": [0, 0], "size": [32.310466789397495, 21.97514752905294]}, "shape_B": {"name": "square", "facecolor": [0.761539869403118, 0.18724641137096631, 0.9828447735354139], "edgecolor": "black", "center": [0, 0], "size": 30.18343150058638}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_114.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_114.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_114.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_114.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_114.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_114.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_114.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_114.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_114.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_114.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_114.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_114.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_114.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_114.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_114.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_114.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_114.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_114.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_114.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_114.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_114.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_114.png", "instructions": [["rotate", -90], ["translate", [-30, 0]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 90 degrees clockwise around its center. <shapeB_step_0>\n- Shift the square to the left by a significant amount. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "B"}
2steps_hard_all_117
B
[['translate', [30, -30]], ['scale', 0.5]]
hard
{"instance_id": 117, "shape_A": {"name": "ellipse", "facecolor": [0.7218298009143069, 0.237713172425009, 0.5423320422772745], "edgecolor": "black", "center": [0, 0], "size": [32.0013952532714, 22.21799979044379]}, "shape_B": {"name": "hexagon", "facecolor": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084], "edgecolor": "black", "center": [0, 0], "size": 30.937540461929405}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_117.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_117.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_117.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_117.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_117.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_117.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_117.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_117.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_117.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_117.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_117.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_117.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_117.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_117.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_117.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_117.png", "instructions": [["translate", [30, -30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "B"}
2steps_hard_all_51
A
[['translate', [30, -30]], ['translate', [10, 0]]]
hard
{"instance_id": 51, "shape_A": {"name": "circle", "facecolor": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901], "edgecolor": "black", "center": [0, 0], "size": 31.55807893463633}, "shape_B": {"name": "ellipse", "facecolor": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509], "edgecolor": "black", "center": [0, 0], "size": [31.636633103351482, 22.941760952071057]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_51.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_51.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_51.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_51.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_51.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_51.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_51.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_51.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_51.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_51.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_51.png", "instructions": [["translate", [30, -30]], ["translate", [10, 0]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the ellipse a little to the right. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "A"}
2steps_hard_all_46
D
[['rotate', -60], ['translate', [10, -30]]]
hard
{"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.8957184739058375, 0.4406495499811689, 0.598835708808161], "edgecolor": "black", "center": [0, 0], "size": [32.37069677274037, 21.922365908439833]}, "shape_B": {"name": "circle", "facecolor": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426], "edgecolor": "black", "center": [0, 0], "size": 32.4604705246161}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_46.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_46.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_46.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_46.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_46.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_46.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_46.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_46.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_46.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_46.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_46.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_46.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_46.png", "instructions": [["rotate", -60], ["translate", [10, -30]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the right and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "B", "hard": "D"}
2steps_hard_all_65
A
[['translate', [-30, 10]], ['translate', [-30, 0]]]
hard
{"instance_id": 65, "shape_A": {"name": "pentagon", "facecolor": [0.3739349932592334, 0.4078218534340765, 0.018567357849827992], "edgecolor": "black", "center": [0, 0], "size": 32.02534525926851}, "shape_B": {"name": "hexagon", "facecolor": [0.6577496837273551, 0.298256592171686, 0.6576294442780709], "edgecolor": "black", "center": [0, 0], "size": 32.8493810613211}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_65.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_65.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_65.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_65.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_65.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_65.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_65.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_65.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_65.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_65.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_65.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_65.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_65.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_65.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_65.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_65.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_65.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_65.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_65.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_65.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_65.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_65.png", "instructions": [["translate", [-30, 10]], ["translate", [-30, 0]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "A"}
2steps_hard_all_11
D
[['translate', [10, 30]], ['scale', 0.5]]
hard
{"instance_id": 11, "shape_A": {"name": "ellipse", "facecolor": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046], "edgecolor": "black", "center": [0, 0], "size": [34.59015534670558, 23.523169726100182]}, "shape_B": {"name": "triangle", "facecolor": [0.740944798920008, 0.7594932952262566, 0.8671889705502257], "edgecolor": "black", "center": [0, 0], "size": 32.2822433356404}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_11.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_11.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_11.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_11.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_11.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_11.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_11.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_11.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_11.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_11.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_11.png", "instructions": [["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and significantly upward. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "D"}
2steps_hard_all_96
A
[['scale', 0.5], ['translate', [-30, 10]]]
hard
{"instance_id": 96, "shape_A": {"name": "hexagon", "facecolor": [0.6378964757255793, 0.7674131396176185, 0.4032724249827292], "edgecolor": "black", "center": [0, 0], "size": 31.79187442079779}, "shape_B": {"name": "circle", "facecolor": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322], "edgecolor": "black", "center": [0, 0], "size": 32.35515624633507}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_96.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_96.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_96.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_96.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_96.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_96.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_96.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_96.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_96.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_96.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_96.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_96.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_96.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_96.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_96.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_96.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_96.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_96.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_96.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_96.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_96.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_96.png", "instructions": [["scale", 0.5], ["translate", [-30, 10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Shift the circle to the left by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "A"}
2steps_hard_all_87
A
[['translate', [30, -10]], ['shear', [0.48871430939645166, 0.6616385445287181]]]
hard
{"instance_id": 87, "shape_A": {"name": "circle", "facecolor": [0.4877966309130519, 0.5533252603852218, 0.7713241150633314], "edgecolor": "black", "center": [0, 0], "size": 31.255310533072468}, "shape_B": {"name": "pentagon", "facecolor": [0.7992447314938979, 0.2595216087555863, 0.5553213965086286], "edgecolor": "black", "center": [0, 0], "size": 30.207761869816622}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_87.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_87.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_87.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_87.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_87.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_87.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_87.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_87.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_87.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_87.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_87.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_87.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_87.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_87.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_87.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_87.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_87.png", "instructions": [["translate", [30, -10]], ["shear", [0.48871430939645166, 0.6616385445287181]]], "correct_answer": {"easy": "C", "hard": "A"}, "text_instructions": "N/A"}
{"easy": "C", "hard": "A"}
2steps_hard_all_116
D
[['rotate', -90], ['scale', 0.5]]
hard
{"instance_id": 116, "shape_A": {"name": "hexagon", "facecolor": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166], "edgecolor": "black", "center": [0, 0], "size": 31.733249454367854}, "shape_B": {"name": "rectangle", "facecolor": [0.9984367810079988, 0.43255898543761095, 0.767455259870214], "edgecolor": "black", "center": [0, 0], "size": [30.04667739523437, 20.34563245259622]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_116.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_116.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_116.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_116.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_116.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_116.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_116.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_116.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_116.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_116.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_116.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_116.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_116.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_116.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_116.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "hard": "D"}
2steps_hard_all_76
A
[['translate', [0, -30]], ['translate', [0, -10]]]
hard
{"instance_id": 76, "shape_A": {"name": "pentagon", "facecolor": [0.8067596155554129, 0.7626401728174794, 0.3050755291508753], "edgecolor": "black", "center": [0, 0], "size": 34.51609058279346}, "shape_B": {"name": "square", "facecolor": [0.1727610819391796, 0.38489471116072127, 0.710585656937022], "edgecolor": "black", "center": [0, 0], "size": 34.80515545597529}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_76.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_76.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_76.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_76.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_76.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_76.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_76.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_76.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_76.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_76.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_76.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_76.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_76.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_76.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_76.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_76.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_76.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_76.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_76.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_76.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_76.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_76.png", "instructions": [["translate", [0, -30]], ["translate", [0, -10]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square significantly downward. <shapeB_step_0>\n- Shift the square slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "D", "hard": "A"}
2steps_hard_all_8
A
[['shear', [0.7774490561738154, -0.9758659752177816]], ['translate', [0, -30]]]
hard
{"instance_id": 8, "shape_A": {"name": "hexagon", "facecolor": [0.7910766611980661, 0.24778637496357891, 0.6446205681878977], "edgecolor": "black", "center": [0, 0], "size": 30.94323261632933}, "shape_B": {"name": "circle", "facecolor": [0.6103192392738179, 0.16411654979064627, 0.3511877188267709], "edgecolor": "black", "center": [0, 0], "size": 31.424604050031665}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_8.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_8.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_8.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_8.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_8.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_8.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_8.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_8.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_8.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_8.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_8.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_8.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_8.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_8.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_8.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_8.png", "instructions": [["shear", [0.7774490561738154, -0.9758659752177816]], ["translate", [0, -30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "A"}, "text_instructions": "N/A"}
{"easy": "C", "medium": "D", "hard": "A"}
2steps_hard_all_49
D
[['rotate', -60], ['translate', [-10, -30]]]
hard
{"instance_id": 49, "shape_A": {"name": "pentagon", "facecolor": [0.44311457662910947, 0.7215474990307839, 0.08537359111921405], "edgecolor": "black", "center": [0, 0], "size": 31.59717583138726}, "shape_B": {"name": "square", "facecolor": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401], "edgecolor": "black", "center": [0, 0], "size": 32.954063341855274}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_49.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_49.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_49.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_49.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_49.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_49.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_49.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_49.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_49.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_49.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_49.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_49.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_49.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_49.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_49.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_49.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_49.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_49.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_49.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_49.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_49.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_49.png", "instructions": [["rotate", -60], ["translate", [-10, -30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "D"}
2steps_hard_all_48
A
[['translate', [30, 0]], ['translate', [10, -10]]]
hard
{"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.5668746151748413, 0.614809201762814, 0.7409945757086595], "edgecolor": "black", "center": [0, 0], "size": [33.266598335046034, 23.512351250803153]}, "shape_B": {"name": "square", "facecolor": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746], "edgecolor": "black", "center": [0, 0], "size": 31.18136031751098}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_48.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_48.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_48.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_48.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_48.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_48.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_48.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_48.png", "instructions": [["translate", [30, 0]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the right by a significant amount. <shapeB_step_0>\n- Shift the square a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "A"}
2steps_hard_all_98
D
[['translate', [-30, -10]], ['translate', [-10, 0]]]
hard
{"instance_id": 98, "shape_A": {"name": "ellipse", "facecolor": [0.8970940726076202, 0.33045794963254105, 0.767542057392423], "edgecolor": "black", "center": [0, 0], "size": [33.58914232667937, 20.617897771545824]}, "shape_B": {"name": "rectangle", "facecolor": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526], "edgecolor": "black", "center": [0, 0], "size": [33.319408228599045, 21.211001990341508]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_98.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_98.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_98.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_98.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_98.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_98.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_98.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_98.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_98.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_98.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_98.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_98.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_98.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_98.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_98.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_98.png", "instructions": [["translate", [-30, -10]], ["translate", [-10, 0]]], "correct_answer": {"easy": "A", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the rectangle a little to the left. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "B", "hard": "D"}
2steps_hard_all_59
C
[['shear', [-0.010693041130111602, -0.14880262654422394]], ['translate', [30, 30]]]
hard
{"instance_id": 59, "shape_A": {"name": "pentagon", "facecolor": [0.1662241421752928, 0.8288994719226118, 0.8994708180124464], "edgecolor": "black", "center": [0, 0], "size": 32.361507126570814}, "shape_B": {"name": "hexagon", "facecolor": [0.28746985892219046, 0.7286541562355917, 0.21816136018654242], "edgecolor": "black", "center": [0, 0], "size": 33.58565575551736}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_59.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_59.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_59.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_59.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_59.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_59.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_59.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_59.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_59.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_59.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_59.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_59.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_59.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_59.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_59.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_59.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_59.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_59.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_59.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_59.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_59.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_59.png", "instructions": [["shear", [-0.010693041130111602, -0.14880262654422394]], ["translate", [30, 30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "N/A"}
{"easy": "B", "medium": "C", "hard": "C"}
2steps_hard_all_70
D
[['scale', 0.5], ['scale', 2.0]]
hard
{"instance_id": 70, "shape_A": {"name": "hexagon", "facecolor": [0.9657240405380021, 0.03664792979565512, 0.11842169647719947], "edgecolor": "black", "center": [0, 0], "size": 33.31376809364918}, "shape_B": {"name": "rectangle", "facecolor": [0.762417943017866, 0.5107435566709644, 0.13381510090440019], "edgecolor": "black", "center": [0, 0], "size": [31.93811116938588, 23.03347691496706]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_70.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_70.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_70.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_70.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_70.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_70.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_70.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_70.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_70.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_70.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_70.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_70.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_70.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_70.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_70.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_70.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_70.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_70.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_70.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_70.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_70.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_70.png", "instructions": [["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n- Increase the size of the rectangle, making it larger. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "D"}
2steps_hard_all_1
D
[['rotate', 30], ['translate', [-30, 10]]]
hard
{"instance_id": 1, "shape_A": {"name": "hexagon", "facecolor": [0.5765880434965995, 0.25472250613858194, 0.7087852838341706], "edgecolor": "black", "center": [0, 0], "size": 31.5695782252918}, "shape_B": {"name": "rectangle", "facecolor": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111], "edgecolor": "black", "center": [0, 0], "size": [33.353142522165, 21.82110735890632]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_1.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_1.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_1.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_1.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_1.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_1.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_1.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_1.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_1.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_1.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_1.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_1.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_1.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_1.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_1.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_1.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_1.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_1.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_1.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_1.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_1.png", "instructions": [["rotate", 30], ["translate", [-30, 10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the rectangle to the left by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "D"}
2steps_hard_all_100
B
[['rotate', 90], ['shear', [0.750947136802024, -0.8252777553834298]]]
hard
{"instance_id": 100, "shape_A": {"name": "hexagon", "facecolor": [0.7728522492039008, 0.4820394331587632, 0.007291379381697549], "edgecolor": "black", "center": [0, 0], "size": 34.88008937762428}, "shape_B": {"name": "rectangle", "facecolor": [0.8784949647411008, 0.6416827635745962, 0.2586982573029857], "edgecolor": "black", "center": [0, 0], "size": [30.942444622014822, 23.608077861635483]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_100.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_100.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_100.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_100.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_100.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_100.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_100.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_100.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_100.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_100.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_100.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_100.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_100.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_100.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_100.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_100.png", "instructions": [["rotate", 90], ["shear", [0.750947136802024, -0.8252777553834298]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "N/A"}
{"easy": "D", "medium": "A", "hard": "B"}
2steps_hard_all_104
C
[['translate', [-30, -10]], ['shear', [-0.5181440805647459, 0.5988762646278858]]]
hard
{"instance_id": 104, "shape_A": {"name": "circle", "facecolor": [0.41123353951714947, 0.39814344686190595, 0.0432357428635195], "edgecolor": "black", "center": [0, 0], "size": 33.62011616356989}, "shape_B": {"name": "triangle", "facecolor": [0.7628349151130451, 0.2505467120832887, 0.32586324462113425], "edgecolor": "black", "center": [0, 0], "size": 34.51710212038183}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_104.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_104.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_104.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_104.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_104.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_104.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_104.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_104.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_104.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_104.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_104.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_104.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_104.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_104.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_104.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_104.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_104.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_104.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_104.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_104.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_104.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_104.png", "instructions": [["translate", [-30, -10]], ["shear", [-0.5181440805647459, 0.5988762646278858]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "C"}, "text_instructions": "N/A"}
{"easy": "D", "medium": "D", "hard": "C"}
2steps_hard_all_68
B
[['translate', [0, -10]], ['translate', [30, -30]]]
hard
{"instance_id": 68, "shape_A": {"name": "ellipse", "facecolor": [0.26726579155818575, 0.5950126088090331, 0.6456888734266008], "edgecolor": "black", "center": [0, 0], "size": [30.386934029224793, 22.99371048487331]}, "shape_B": {"name": "hexagon", "facecolor": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387], "edgecolor": "black", "center": [0, 0], "size": 33.53032851614379}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_68.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_68.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_68.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_68.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_68.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_68.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_68.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_68.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_68.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_68.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_68.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_68.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_68.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_68.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_68.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_68.png", "instructions": [["translate", [0, -10]], ["translate", [30, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon slightly downward. <shapeB_step_0>\n- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "B"}
2steps_hard_all_34
D
[['scale', 0.5], ['scale', 2.0]]
hard
{"instance_id": 34, "shape_A": {"name": "ellipse", "facecolor": [0.9896430783887331, 0.3734743596330379, 0.5657145935088911], "edgecolor": "black", "center": [0, 0], "size": [30.561674629590005, 20.791119590349158]}, "shape_B": {"name": "triangle", "facecolor": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796], "edgecolor": "black", "center": [0, 0], "size": 32.79145321922705}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_34.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_34.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_34.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_34.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_34.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_34.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_34.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_34.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_34.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_34.png", "instructions": [["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "A", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n- Increase the size of the triangle, making it larger. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "B", "hard": "D"}
2steps_hard_all_82
B
[['shear', [0.9307359349196269, -0.8260288094435935]], ['rotate', 90]]
hard
{"instance_id": 82, "shape_A": {"name": "ellipse", "facecolor": [0.018472102364985865, 0.949090066546378, 0.2785418802793902], "edgecolor": "black", "center": [0, 0], "size": [32.387879540114746, 24.48611555042166]}, "shape_B": {"name": "hexagon", "facecolor": [0.8017101626967196, 0.2188108822675794, 0.9735660125970901], "edgecolor": "black", "center": [0, 0], "size": 33.41839536232097}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_82.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_82.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_82.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_82.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_82.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_82.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_82.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_82.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_82.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_82.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_82.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_82.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_82.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_82.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_82.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_82.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_82.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_82.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_82.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_82.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_82.png", "instructions": [["shear", [0.9307359349196269, -0.8260288094435935]], ["rotate", 90]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "N/A"}
{"easy": "D", "medium": "D", "hard": "B"}
2steps_hard_all_43
A
[['rotate', -60], ['translate', [10, -10]]]
hard
{"instance_id": 43, "shape_A": {"name": "square", "facecolor": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364], "edgecolor": "black", "center": [0, 0], "size": 30.672575199287046}, "shape_B": {"name": "hexagon", "facecolor": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138], "edgecolor": "black", "center": [0, 0], "size": 31.49796820561388}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_43.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_43.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_43.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_43.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_43.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_43.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_43.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_43.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_43.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_43.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_43.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_43.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_43.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_43.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_43.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_43.png", "instructions": [["rotate", -60], ["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "B", "hard": "A"}
2steps_hard_all_88
C
[['shear', [-0.994358871796885, 0.8088292060852149]], ['shear', [0.6385497695169589, -0.4506839484350178]]]
hard
{"instance_id": 88, "shape_A": {"name": "circle", "facecolor": [0.9815898712958536, 0.7624966943238292, 0.29060802269554553], "edgecolor": "black", "center": [0, 0], "size": 30.785050787952006}, "shape_B": {"name": "ellipse", "facecolor": [0.8296044295535829, 0.06935475347081965, 0.6818784007167067], "edgecolor": "black", "center": [0, 0], "size": [30.097420924094333, 24.784975288936202]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_88.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_88.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_88.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_88.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_88.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_88.png", "answer_choices": {"medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_88.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_88.png"}, "individual_answer_choices_path": {"medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_88.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_88.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_88.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_88.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_88.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_88.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_88.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_88.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_88.png", "instructions": [["shear", [-0.994358871796885, 0.8088292060852149]], ["shear", [0.6385497695169589, -0.4506839484350178]]], "correct_answer": {"medium": "D", "hard": "C"}, "text_instructions": "N/A"}
{"medium": "D", "hard": "C"}
2steps_hard_all_37
A
[['shear', [-0.4446608092227684, -0.6201078819254822]], ['shear', [0.8946617819606824, -0.680358700642852]]]
hard
{"instance_id": 37, "shape_A": {"name": "circle", "facecolor": [0.763412479229923, 0.31347467411992613, 0.9990974273157817], "edgecolor": "black", "center": [0, 0], "size": 34.94881066941658}, "shape_B": {"name": "triangle", "facecolor": [0.9234460204560432, 0.8464816059560561, 0.9722760647776848], "edgecolor": "black", "center": [0, 0], "size": 33.9568755335139}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_37.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_37.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_37.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_37.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_37.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_37.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_37.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_37.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_37.png", "instructions": [["shear", [-0.4446608092227684, -0.6201078819254822]], ["shear", [0.8946617819606824, -0.680358700642852]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "A"}, "text_instructions": "N/A"}
{"easy": "A", "medium": "C", "hard": "A"}
2steps_hard_all_101
D
[['translate', [10, -30]], ['translate', [-10, 0]]]
hard
{"instance_id": 101, "shape_A": {"name": "rectangle", "facecolor": [0.008981558192268757, 0.9166664011286465, 0.5050242899246621], "edgecolor": "black", "center": [0, 0], "size": [32.68920971753934, 23.22743674000318]}, "shape_B": {"name": "ellipse", "facecolor": [0.044870105594161824, 0.8026445564168357, 0.404462470449673], "edgecolor": "black", "center": [0, 0], "size": [33.653755384270276, 22.561451605297073]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_101.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_101.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_101.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_101.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_101.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_101.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_101.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_101.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_101.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_101.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_101.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_101.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_101.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_101.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_101.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_101.png", "instructions": [["translate", [10, -30]], ["translate", [-10, 0]]], "correct_answer": {"easy": "C", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right and significantly downward. <shapeB_step_0>\n- Shift the ellipse a little to the left. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "A", "hard": "D"}
2steps_hard_all_58
A
[['rotate', 30], ['scale', 0.5]]
hard
{"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0, 0], "size": 32.97502196345081}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437], "edgecolor": "black", "center": [0, 0], "size": 33.71756415794952}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_58.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_58.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_58.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_58.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_58.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_58.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_58.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_58.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "A"}
2steps_hard_all_119
D
[['rotate', 60], ['translate', [30, 10]]]
hard
{"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004], "edgecolor": "black", "center": [0, 0], "size": 31.759976635722538}, "shape_B": {"name": "circle", "facecolor": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847], "edgecolor": "black", "center": [0, 0], "size": 33.75065211216586}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_119.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_119.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_119.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_119.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_119.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_119.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_119.png", "instructions": [["rotate", 60], ["translate", [30, 10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "D"}
2steps_hard_all_64
C
[['rotate', 90], ['shear', [-0.7600039308987219, -0.6921630886393852]]]
hard
{"instance_id": 64, "shape_A": {"name": "ellipse", "facecolor": [0.8564475965576949, 0.42258744511749025, 0.7001587954524333], "edgecolor": "black", "center": [0, 0], "size": [33.38083017231202, 24.398299232677743]}, "shape_B": {"name": "square", "facecolor": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555], "edgecolor": "black", "center": [0, 0], "size": 33.812683003758195}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_64.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_64.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_64.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_64.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_64.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_64.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_64.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_64.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_64.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_64.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_64.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_64.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_64.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_64.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_64.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_64.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_64.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_64.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_64.png", "instructions": [["rotate", 90], ["shear", [-0.7600039308987219, -0.6921630886393852]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "N/A"}
{"easy": "B", "medium": "B", "hard": "C"}
2steps_hard_all_75
B
[['translate', [-30, 10]], ['rotate', -60]]
hard
{"instance_id": 75, "shape_A": {"name": "ellipse", "facecolor": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156], "edgecolor": "black", "center": [0, 0], "size": [32.94666450665948, 22.631616809247262]}, "shape_B": {"name": "triangle", "facecolor": [0.954358485726285, 0.20291821457172288, 0.057020052366765106], "edgecolor": "black", "center": [0, 0], "size": 33.61190948775844}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_75.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_75.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_75.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_no_75.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_75.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_75.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_75.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_75.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_75.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_75.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_75.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_75.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_75.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_75.png", "instructions": [["translate", [-30, 10]], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "B"}