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1.77k
1.77k
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2.36k
2.36k
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hard_all_72
D
[['translate', [-10, -10]], ['translate', [10, -10]]]
hard
{"instance_id": 72, "shape_A": {"name": "square", "facecolor": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413], "edgecolor": "black", "center": [0, 0], "size": 30.987408871750798}, "shape_B": {"name": "ellipse", "facecolor": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202], "edgecolor": "black", "center": [0, 0], "size": [33.35649907947214, 22.428317324717842]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_72.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_72.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_72.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_72.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_72.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_72.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_72.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_72.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_72.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_72.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_72.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_72.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_72.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_72.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_72.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_72.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_72.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_72.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_72.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_72.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_72.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_72.png", "instructions": [["translate", [-10, -10]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "C", "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 left and slightly downward. <shapeB_step_0>\n- Shift the ellipse 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": "C", "hard": "D"}
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"}
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"}
hard_all_78
B
[['shear', [-0.6439830549829244, 0.7334680818512211]], ['scale', 0.5]]
hard
{"instance_id": 78, "shape_A": {"name": "circle", "facecolor": [0.5833889378061646, 0.9889014284759778, 0.4004785541594298], "edgecolor": "black", "center": [0, 0], "size": 31.39579674401452}, "shape_B": {"name": "triangle", "facecolor": [0.7271789127635937, 0.6561688874069179, 0.8326307578127914], "edgecolor": "black", "center": [0, 0], "size": 31.779730749010433}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_78.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_78.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_78.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_78.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_78.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_78.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_78.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_78.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_78.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_78.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_78.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_78.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_78.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_78.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_78.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_78.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_78.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_78.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_78.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_78.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_78.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_78.png", "instructions": [["shear", [-0.6439830549829244, 0.7334680818512211]], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "A", "hard": "B"}, "text_instructions": "N/A"}
{"easy": "C", "medium": "A", "hard": "B"}
hard_all_79
D
[['translate', [30, 10]], ['translate', [10, 10]]]
hard
{"instance_id": 79, "shape_A": {"name": "circle", "facecolor": [0.09381602193378857, 0.38961179716607963, 0.7759808678382729], "edgecolor": "black", "center": [0, 0], "size": 34.926357446210766}, "shape_B": {"name": "triangle", "facecolor": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315], "edgecolor": "black", "center": [0, 0], "size": 32.304511274526085}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_79.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_79.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_79.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_79.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_79.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_79.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_79.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_79.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_79.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_79.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_79.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_79.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_79.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_79.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_79.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_79.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_79.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_79.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_79.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_79.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_79.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_79.png", "instructions": [["translate", [30, 10]], ["translate", [10, 10]]], "correct_answer": {"easy": "C", "medium": "A", "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 a little to the right 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": "A", "hard": "D"}
hard_all_81
D
[['rotate', 30], ['translate', [-10, 30]]]
hard
{"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"}
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"}
hard_all_84
B
[['translate', [-30, 30]], ['translate', [-30, -10]]]
hard
{"instance_id": 84, "shape_A": {"name": "circle", "facecolor": [0.5504029445934221, 0.5100440640411942, 0.3668384015013819], "edgecolor": "black", "center": [0, 0], "size": 31.55749199308723}, "shape_B": {"name": "pentagon", "facecolor": [0.8853895053523568, 0.3262714210993277, 0.08446102947010081], "edgecolor": "black", "center": [0, 0], "size": 30.407437320957264}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_84.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_84.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_84.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_84.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_84.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_84.png", "answer_choices": {"hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_84.png"}, "individual_answer_choices_path": {"hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_84.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_84.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_84.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_84.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_84.png", "instructions": [["translate", [-30, 30]], ["translate", [-30, -10]]], "correct_answer": {"hard": "B"}, "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 upward. <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 "}
{"hard": "B"}
hard_all_85
D
[['rotate', -90], ['translate', [30, -10]]]
hard
{"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"}
hard_all_86
B
[['translate', [10, -30]], ['translate', [-30, -10]]]
hard
{"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"}
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"}
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"}
hard_all_89
D
[['translate', [30, -10]], ['translate', [10, 30]]]
hard
{"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"}
hard_all_90
D
[['translate', [-30, 0]], ['flip', 'vertical']]
hard
{"instance_id": 90, "shape_A": {"name": "pentagon", "facecolor": [0.6745812607716665, 0.6201040513904406, 0.8856959452529845], "edgecolor": "black", "center": [0, 0], "size": 33.200018526243724}, "shape_B": {"name": "ellipse", "facecolor": [0.7626012036971018, 0.6267177330675984, 0.7033294937214085], "edgecolor": "black", "center": [0, 0], "size": [33.464093828721076, 23.31805586293696]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_90.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_90.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_90.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_90.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_90.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_90.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_90.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_90.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_90.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_90.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_90.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_90.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_90.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_90.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_90.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_90.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_90.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_90.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_90.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_90.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_90.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_90.png", "instructions": [["translate", [-30, 0]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the left by a significant amount. <shapeB_step_0>\n- Flip the ellipse 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": "D", "hard": "D"}
hard_all_91
A
[['translate', [30, -30]], ['shear', [0.7669553078996998, 0.516983394248947]]]
hard
{"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"}
hard_all_92
B
[['translate', [10, 30]], ['scale', 0.5]]
hard
{"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"}
hard_all_93
D
[['translate', [10, 0]], ['translate', [30, 30]]]
hard
{"instance_id": 93, "shape_A": {"name": "rectangle", "facecolor": [0.5443017499435369, 0.24775111195336064, 0.42429836503955554], "edgecolor": "black", "center": [0, 0], "size": [30.646502064015266, 23.27968513406261]}, "shape_B": {"name": "ellipse", "facecolor": [0.775060683475521, 0.07569638668142942, 0.5408381199364256], "edgecolor": "black", "center": [0, 0], "size": [32.55746885265956, 22.304036508160745]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_93.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_93.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_93.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_93.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_93.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_93.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_93.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_93.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_93.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_93.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_93.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_93.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_93.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_93.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_93.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_93.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_93.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_93.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_93.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_93.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_93.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_93.png", "instructions": [["translate", [10, 0]], ["translate", [30, 30]]], "correct_answer": {"easy": "B", "medium": "B", "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. <shapeB_step_0>\n- Shift the ellipse to the right 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": "B", "hard": "D"}
hard_all_94
D
[['shear', [-0.5007056566684591, -0.5675947174691485]], ['translate', [-10, 10]]]
hard
{"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"}
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"}
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"}