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easy_no_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"}
easy_no_1
A
[['rotate', 30], ['translate', [-30, 10]]]
easy
{"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"}
easy_no_2
D
[['shear', [-0.41152883735900536, -0.1911977426441438]], ['translate', [0, 30]]]
easy
{"instance_id": 2, "shape_A": {"name": "circle", "facecolor": [0.347203765308449, 0.42837801323474445, 0.3705708762180562], "edgecolor": "black", "center": [0, 0], "size": 31.341977690246125}, "shape_B": {"name": "triangle", "facecolor": [0.6355851061014459, 0.8287073110024582, 0.7073086437060769], "edgecolor": "black", "center": [0, 0], "size": 34.40815592001386}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_2.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_2.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_2.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_2.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_2.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_2.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_2.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_2.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_2.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_2.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_2.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_2.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_2.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_2.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_2.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_2.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_2.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_2.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_2.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_2.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_2.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_2.png", "instructions": [["shear", [-0.41152883735900536, -0.1911977426441438]], ["translate", [0, 30]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "N/A"}
{"easy": "D", "medium": "A", "hard": "B"}
easy_no_5
A
[['translate', [30, 0]], ['scale', 0.5]]
easy
{"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"}
easy_no_7
D
[['rotate', 30], ['scale', 0.5]]
easy
{"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"}
easy_no_8
C
[['shear', [0.7774490561738154, -0.9758659752177816]], ['translate', [0, -30]]]
easy
{"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"}
easy_no_9
C
[['translate', [10, 0]], ['rotate', 60]]
easy
{"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"}
easy_no_10
A
[['scale', 0.5], ['shear', [0.7706405067902746, -0.8225479748597473]]]
easy
{"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"}
easy_no_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"}
easy_no_12
D
[['translate', [-30, -10]], ['flip', 'horizontal']]
easy
{"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"}
easy_no_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"}
easy_no_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"}
easy_no_15
D
[['translate', [10, 10]], ['scale', 0.5]]
easy
{"instance_id": 15, "shape_A": {"name": "square", "facecolor": [0.7036219244347302, 0.9191774211091239, 0.5495926535464359], "edgecolor": "black", "center": [0, 0], "size": 32.56643343555589}, "shape_B": {"name": "pentagon", "facecolor": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404], "edgecolor": "black", "center": [0, 0], "size": 32.41814947761473}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_15.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_15.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_15.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_15.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_15.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_15.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_15.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_15.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_15.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_15.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_15.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_15.png", "instructions": [["translate", [10, 10]], ["scale", 0.5]], "correct_answer": {"easy": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon a little to the right and slightly upward. <shapeB_step_0>\n- Reduce the size of the pentagon, 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"}
easy_no_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"}
easy_no_21
D
[['rotate', 30], ['translate', [0, 10]]]
easy
{"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"}
easy_no_22
B
[['rotate', 90], ['translate', [-30, 30]]]
easy
{"instance_id": 22, "shape_A": {"name": "hexagon", "facecolor": [0.7570463242805414, 0.16002734022901755, 0.027891225295657907], "edgecolor": "black", "center": [0, 0], "size": 31.772366729520748}, "shape_B": {"name": "circle", "facecolor": [0.8876748965071967, 0.7815630931314602, 0.4045057056501532], "edgecolor": "black", "center": [0, 0], "size": 33.870788935718764}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_22.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_22.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_22.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_22.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_22.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_22.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_22.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_22.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_22.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_22.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_22.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_22.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_22.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_22.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_22.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_22.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_22.png", "instructions": [["rotate", 90], ["translate", [-30, 30]]], "correct_answer": {"easy": "B", "medium": "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 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": "D"}
easy_no_23
C
[['translate', [10, 10]], ['shear', [0.13219381813801645, -0.32867903089369643]]]
easy
{"instance_id": 23, "shape_A": {"name": "circle", "facecolor": [0.5088980067989685, 0.35539121494447434, 0.48139930311309564], "edgecolor": "black", "center": [0, 0], "size": 30.723001921822043}, "shape_B": {"name": "rectangle", "facecolor": [0.044070788178527165, 0.12768075102319454, 0.5845222952652582], "edgecolor": "black", "center": [0, 0], "size": [34.09591893982794, 22.797249587576918]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_23.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_23.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_23.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_23.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_23.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_23.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_23.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_23.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_23.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_23.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_23.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_23.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_23.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_23.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_23.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_23.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_23.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_23.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_23.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_23.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_23.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_23.png", "instructions": [["translate", [10, 10]], ["shear", [0.13219381813801645, -0.32867903089369643]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "A"}, "text_instructions": "N/A"}
{"easy": "C", "medium": "C", "hard": "A"}
easy_no_24
B
[['shear', [-0.7194884796323222, 0.640853379355995]], ['translate', [-30, -10]]]
easy
{"instance_id": 24, "shape_A": {"name": "circle", "facecolor": [0.6666569405518199, 0.0667438633594214, 0.7265377545536263], "edgecolor": "black", "center": [0, 0], "size": 31.9967091774856}, "shape_B": {"name": "ellipse", "facecolor": [0.4100960675696729, 0.16483910570119775, 0.2073720954810423], "edgecolor": "black", "center": [0, 0], "size": [30.6824028613832, 23.35147785949245]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_24.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_24.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_24.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_24.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_24.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_24.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_24.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_24.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_24.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_24.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_24.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_24.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_24.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_24.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_24.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_24.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_24.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_24.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_24.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_24.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_24.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_24.png", "instructions": [["shear", [-0.7194884796323222, 0.640853379355995]], ["translate", [-30, -10]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "B"}, "text_instructions": "N/A"}
{"easy": "B", "medium": "C", "hard": "B"}
easy_no_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"}
easy_no_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"}
easy_no_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"}
easy_no_30
A
[['rotate', -60], ['rotate', -30]]
easy
{"instance_id": 30, "shape_A": {"name": "pentagon", "facecolor": [0.5807247187800348, 0.5844932244529949, 0.8298862681073982], "edgecolor": "black", "center": [0, 0], "size": 31.157672851582184}, "shape_B": {"name": "hexagon", "facecolor": [0.25922601766453657, 0.6977687055176244, 0.5888520997404649], "edgecolor": "black", "center": [0, 0], "size": 31.618296904858546}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_30.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_30.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_30.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_30.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_30.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_30.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_30.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_30.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_30.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_30.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_30.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_30.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_30.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_30.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_30.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_30.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_30.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_30.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_30.png", "instructions": [["rotate", -60], ["rotate", -30]], "correct_answer": {"easy": "A", "medium": "A", "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 -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": "A", "medium": "A", "hard": "A"}
easy_no_33
B
[['rotate', -90], ['scale', 0.5]]
easy
{"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"}
easy_no_34
A
[['scale', 0.5], ['scale', 2.0]]
easy
{"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"}
easy_no_37
A
[['shear', [-0.4446608092227684, -0.6201078819254822]], ['shear', [0.8946617819606824, -0.680358700642852]]]
easy
{"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"}
easy_no_40
D
[['translate', [-10, -30]], ['flip', 'horizontal']]
easy
{"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"}
easy_no_41
C
[['scale', 0.5], ['translate', [0, 30]]]
easy
{"instance_id": 41, "shape_A": {"name": "circle", "facecolor": [0.4349376616605507, 0.9498169402127793, 0.8002794462399574], "edgecolor": "black", "center": [0, 0], "size": 32.24635669085013}, "shape_B": {"name": "square", "facecolor": [0.4549525004933962, 0.7191072075886662, 0.5471231810017919], "edgecolor": "black", "center": [0, 0], "size": 31.50141253663276}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_41.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_41.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_41.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_41.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_41.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_41.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_41.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_41.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_41.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_41.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_41.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_41.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_41.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_41.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_41.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_41.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_41.png", "instructions": [["scale", 0.5], ["translate", [0, 30]]], "correct_answer": {"easy": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Shift the square 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", "hard": "A"}
easy_no_42
B
[['translate', [10, 10]], ['translate', [10, -30]]]
easy
{"instance_id": 42, "shape_A": {"name": "rectangle", "facecolor": [0.0014526395336973419, 0.11461071972209924, 0.5907373591599235], "edgecolor": "black", "center": [0, 0], "size": [31.382745353855185, 20.563067777997805]}, "shape_B": {"name": "square", "facecolor": [0.7069043622927679, 0.2549992848063827, 0.6052559204226526], "edgecolor": "black", "center": [0, 0], "size": 34.826099470933364}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_42.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_42.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_42.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_42.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_42.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_42.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_42.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_42.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_42.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_42.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_42.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_42.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_42.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_42.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_42.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_42.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_42.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_42.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_42.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_42.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_42.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_42.png", "instructions": [["translate", [10, 10]], ["translate", [10, -30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "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 and slightly upward. <shapeB_step_0>\n- Shift the square 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": "B", "medium": "A", "hard": "D"}
easy_no_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"}
easy_no_44
D
[['shear', [0.22019047784437773, 0.39438115152016384]], ['translate', [-10, 0]]]
easy
{"instance_id": 44, "shape_A": {"name": "rectangle", "facecolor": [0.7886590155145455, 0.7211241250913657, 0.3690476144845092], "edgecolor": "black", "center": [0, 0], "size": [30.112459949107354, 21.129331988497825]}, "shape_B": {"name": "hexagon", "facecolor": [0.4698320506309802, 0.3077294708132119, 0.7920937708004387], "edgecolor": "black", "center": [0, 0], "size": 32.59373453179205}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_44.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_44.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_44.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_44.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_44.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_44.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_44.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_44.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_44.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_D_easy_44.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_44.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_44.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_44.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_44.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_44.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_44.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_44.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_44.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_44.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_44.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_44.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_44.png", "instructions": [["shear", [0.22019047784437773, 0.39438115152016384]], ["translate", [-10, 0]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "N/A"}
{"easy": "D", "medium": "C", "hard": "D"}
easy_no_45
C
[['translate', [30, 0]], ['translate', [-10, -10]]]
easy
{"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"}
easy_no_46
C
[['rotate', -60], ['translate', [10, -30]]]
easy
{"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"}
easy_no_47
D
[['rotate', -60], ['translate', [-30, -30]]]
easy
{"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"}
easy_no_48
D
[['translate', [30, 0]], ['translate', [10, -10]]]
easy
{"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"}
easy_no_49
C
[['rotate', -60], ['translate', [-10, -30]]]
easy
{"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"}
easy_no_50
A
[['shear', [-0.8765710322280187, -0.9486141166165372]], ['rotate', 30]]
easy
{"instance_id": 50, "shape_A": {"name": "pentagon", "facecolor": [0.5375018157336825, 0.625960674789901, 0.9645821920764941], "edgecolor": "black", "center": [0, 0], "size": 30.691203220215304}, "shape_B": {"name": "circle", "facecolor": [0.09507804996981739, 0.9308888383353976, 0.9365127350818191], "edgecolor": "black", "center": [0, 0], "size": 34.63901686152393}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_50.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_50.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_50.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_50.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_50.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_50.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_50.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_50.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_50.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_50.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_50.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_50.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_50.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_C_medium_50.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_50.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_50.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_50.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_D_hard_50.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_50.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_50.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_50.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_50.png", "instructions": [["shear", [-0.8765710322280187, -0.9486141166165372]], ["rotate", 30]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "N/A"}
{"easy": "A", "medium": "D", "hard": "D"}
easy_no_51
D
[['translate', [30, -30]], ['translate', [10, 0]]]
easy
{"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"}
easy_no_52
D
[['scale', 0.5], ['translate', [30, -10]]]
easy
{"instance_id": 52, "shape_A": {"name": "hexagon", "facecolor": [0.47934127676974325, 0.2742408502082949, 0.44941413909959593], "edgecolor": "black", "center": [0, 0], "size": 34.522792816301255}, "shape_B": {"name": "square", "facecolor": [0.5678985385543087, 0.4255849569154678, 0.5863258430934979], "edgecolor": "black", "center": [0, 0], "size": 33.64449694702385}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_52.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_52.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_52.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_52.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_52.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_52.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_52.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_52.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_52.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_52.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_52.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_52.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_52.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_D_medium_52.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_52.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_52.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_52.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_B_hard_52.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_hard_52.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_52.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_52.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_52.png", "instructions": [["scale", 0.5], ["translate", [30, -10]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Shift the square 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": "D", "medium": "D", "hard": "C"}
easy_no_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"}
easy_no_55
A
[['rotate', -60], ['scale', 0.5]]
easy
{"instance_id": 55, "shape_A": {"name": "pentagon", "facecolor": [0.5773047166315816, 0.40030500055826135, 0.32391380076659937], "edgecolor": "black", "center": [0, 0], "size": 34.076455464679775}, "shape_B": {"name": "triangle", "facecolor": [0.8158678835384954, 0.025315073814250355, 0.5290367633918086], "edgecolor": "black", "center": [0, 0], "size": 33.228527487345595}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_55.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_55.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_55.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_55.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_55.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_55.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_55.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_55.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_55.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_55.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_55.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_55.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/shape_B_prime_55.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_medium_55.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_55.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_55.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_55.png", "instructions": [["rotate", -60], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by -60 degrees 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": "A", "medium": "A"}
easy_no_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"}
easy_no_58
B
[['rotate', 30], ['scale', 0.5]]
easy
{"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"}
easy_no_59
B
[['shear', [-0.010693041130111602, -0.14880262654422394]], ['translate', [30, 30]]]
easy
{"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"}
easy_no_63
C
[['rotate', 60], ['rotate', -60]]
easy
{"instance_id": 63, "shape_A": {"name": "pentagon", "facecolor": [0.2647749902563443, 0.7489185677960649, 0.5863841278376783], "edgecolor": "black", "center": [0, 0], "size": 33.7676867623919}, "shape_B": {"name": "circle", "facecolor": [0.11787294463996922, 0.3876166956291248, 0.34806167820257994], "edgecolor": "black", "center": [0, 0], "size": 30.11697461652173}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_63.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_63.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_63.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_63.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_63.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_63.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_63.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_63.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_B_easy_63.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_easy_63.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_63.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_63.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_63.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_63.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_63.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_63.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_63.png", "instructions": [["rotate", 60], ["rotate", -60]], "correct_answer": {"easy": "C", "medium": "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- Rotate the circle 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": "C", "medium": "D"}
easy_no_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"}
easy_no_65
D
[['translate', [-30, 10]], ['translate', [-30, 0]]]
easy
{"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"}
easy_no_66
D
[['translate', [30, 10]], ['translate', [-30, 30]]]
easy
{"instance_id": 66, "shape_A": {"name": "triangle", "facecolor": [0.9864450772530504, 0.9230049846223043, 0.8848549873019625], "edgecolor": "black", "center": [0, 0], "size": 34.805068062894414}, "shape_B": {"name": "square", "facecolor": [0.43125191350037373, 0.4439314585163623, 0.9587689975987754], "edgecolor": "black", "center": [0, 0], "size": 34.874941198426484}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_2_steps/shape_B_66.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step0_66.png", "output_dir/2d_visual_analogy_2_steps/shape_B_step1_66.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_66.png", "composed_B_partial": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_partial_66.png", "composed_B_all": "output_dir/2d_visual_analogy_2_steps/composed_transformation_B_all_66.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_2_steps/answer_choices_easy_66.png", "medium": "output_dir/2d_visual_analogy_2_steps/answer_choices_medium_66.png", "hard": "output_dir/2d_visual_analogy_2_steps/answer_choices_hard_66.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_2_steps/distractor_C_easy_66.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_easy_66.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_easy_66.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_66.png"], "medium": ["output_dir/2d_visual_analogy_2_steps/distractor_B_medium_66.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_medium_66.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_66.png", "output_dir/2d_visual_analogy_2_steps/distractor_C_medium_66.png"], "hard": ["output_dir/2d_visual_analogy_2_steps/distractor_C_hard_66.png", "output_dir/2d_visual_analogy_2_steps/distractor_D_hard_66.png", "output_dir/2d_visual_analogy_2_steps/distractor_B_hard_66.png", "output_dir/2d_visual_analogy_2_steps/shape_B_prime_66.png"]}, "question_image": "output_dir/2d_visual_analogy_2_steps/composed_transformation_A_66.png", "instructions": [["translate", [30, 10]], ["translate", [-30, 30]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "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 and slightly upward. <shapeB_step_0>\n- Shift the square 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": "C", "hard": "D"}
easy_no_68
A
[['translate', [0, -10]], ['translate', [30, -30]]]
easy
{"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"}
easy_no_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"}
easy_no_70
D
[['scale', 0.5], ['scale', 2.0]]
easy
{"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"}
easy_no_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"}
easy_no_72
D
[['translate', [-10, -10]], ['translate', [10, -10]]]
easy
{"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"}
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