qid stringlengths 9 19 | question stringclasses 70 values | choices imagewidth (px) 2.36k 2.36k | images images listlengths 1 4 | answer stringclasses 4 values | transformations stringclasses 70 values | difficulty_level stringclasses 3 values | question_info stringclasses 70 values | answer_info stringclasses 52 values |
|---|---|---|---|---|---|---|---|---|
easy_no_0 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the left and significantly downward. <shapeB_step_0>
- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the circle a little to the right. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-10, -30]], ['rotate', 30], ['translate', [10, 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_3_steps/shape_B_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_0.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_0.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_0.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_0.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_0.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_0.png", "instructions": [["translate", [-10, -30]], ["rotate", 30], ["translate", [10, 0]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the left and significantly downward. <shapeB_step_0>\n- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the circle a little to the right. <shapeB_step_2>\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_1 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the right by a significant amount and slightly upward. <shapeB_step_0>
- Shift the square a little to the left and slightly downward. <shapeB_step_1>
- Rotate the square by -30 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [30, 10]], ['translate', [-10, -10]], ['rotate', -30]] | easy | {"instance_id": 1, "shape_A": {"name": "rectangle", "facecolor": [0.5376344041016273, 0.5058846940487653, 0.1324565703664673], "edgecolor": "black", "center": [0, 0], "size": [34.39063482486796, 21.322329607435638]}, "shape_B": {"name": "square", "facecolor": [0.6211592554930928, 0.562993645638946, 0.09998124892458848], "edgecolor": "black", "center": [0, 0], "size": 30.51793250959106}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_1.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_1.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_1.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_1.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_1.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_1.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_1.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_1.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_1.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_1.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_1.png", "instructions": [["translate", [30, 10]], ["translate", [-10, -10]], ["rotate", -30]], "correct_answer": {"easy": "B", "medium": "A", "hard": "C"}, "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 a little to the left and slightly downward. <shapeB_step_1>\n- Rotate the square by -30 degrees clockwise around its center. <shapeB_step_2>\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": "C"} | ||
easy_no_3 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon a little to the left and significantly downward. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount. <shapeB_step_1>
- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-10, -30]], ['translate', [-30, 0]], ['flip', 'vertical']] | easy | {"instance_id": 3, "shape_A": {"name": "rectangle", "facecolor": [0.4760931107841647, 0.7118424064727227, 0.44817454958657077], "edgecolor": "black", "center": [0, 0], "size": [33.606421656630346, 21.577739720029932]}, "shape_B": {"name": "hexagon", "facecolor": [0.5534729550102496, 0.34375739414620254, 0.996631463959332], "edgecolor": "black", "center": [0, 0], "size": 30.957704865052722}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_3.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_3.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_3.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_3.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_3.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_3.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_3.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_3.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_3.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_3.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_3.png", "instructions": [["translate", [-10, -30]], ["translate", [-30, 0]], ["flip", "vertical"]], "correct_answer": {"easy": "C", "medium": "B", "hard": "B"}, "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 downward. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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": "B"} | ||
easy_no_4 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>
- Reduce the size of the square, making it smaller. <shapeB_step_1>
- Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, -10]], ['scale', 0.5], ['flip', 'vertical']] | easy | {"instance_id": 4, "shape_A": {"name": "triangle", "facecolor": [0.9541395926226761, 0.6267991790079878, 0.8874386829093233], "edgecolor": "black", "center": [0, 0], "size": 31.497330401220324}, "shape_B": {"name": "square", "facecolor": [0.623259400521998, 0.39748332388577345, 0.08031532057944901], "edgecolor": "black", "center": [0, 0], "size": 33.51945414664519}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_4.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_4.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_4.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_4.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_4.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_4.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_4.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_4.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_4.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_4.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_4.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_4.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_4.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_4.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_4.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_4.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_4.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_4.png", "instructions": [["translate", [-30, -10]], ["scale", 0.5], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "A"}, "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- Reduce the size of the square, making it smaller. <shapeB_step_1>\n- Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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"} | ||
easy_no_5 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon a little to the right and significantly upward. <shapeB_step_0>
- Shift the hexagon a little to the right and significantly upward. <shapeB_step_1>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [10, 30]], ['translate', [10, 30]], ['scale', 0.5]] | easy | {"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.221549756418285, 0.6151068362844365, 0.7272429971637352], "edgecolor": "black", "center": [0, 0], "size": [34.496333825617675, 21.61055909873163]}, "shape_B": {"name": "hexagon", "facecolor": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873], "edgecolor": "black", "center": [0, 0], "size": 30.741669128301822}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_5.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_5.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_5.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_5.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_5.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_5.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_5.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_5.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_5.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_5.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_5.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_5.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_5.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_5.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_5.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_5.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_5.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_5.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_5.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_5.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_5.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_5.png", "instructions": [["translate", [10, 30]], ["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "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 right and significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the right and significantly upward. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\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": "D"} | ||
easy_no_6 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the ellipse by -90 degrees clockwise around its center. <shapeB_step_1>
- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', 30], ['rotate', -90], ['rotate', 60]] | easy | {"instance_id": 6, "shape_A": {"name": "pentagon", "facecolor": [0.037607245571092074, 0.3687375994898128, 0.2870770326013192], "edgecolor": "black", "center": [0, 0], "size": 30.205113569264626}, "shape_B": {"name": "ellipse", "facecolor": [0.6313851200254293, 0.7963296791514282, 0.591419756831021], "edgecolor": "black", "center": [0, 0], "size": [32.90164703705595, 24.77115738361395]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_6.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_6.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_6.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_6.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_6.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_6.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_6.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_6.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_6.png", "instructions": [["rotate", 30], ["rotate", -90], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the ellipse by -90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_2>\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"} | ||
easy_no_8 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse slightly upward. <shapeB_step_0>
- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the ellipse a little to the right and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [0, 10]], ['rotate', 30], ['translate', [10, 30]]] | easy | {"instance_id": 8, "shape_A": {"name": "square", "facecolor": [0.7643388435720192, 0.4123922224155927, 0.8425447168253485], "edgecolor": "black", "center": [0, 0], "size": 30.085712988012137}, "shape_B": {"name": "ellipse", "facecolor": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251], "edgecolor": "black", "center": [0, 0], "size": [34.54886682999383, 20.535082143472465]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_8.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_8.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_8.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_8.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_8.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_8.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_8.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_8.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_8.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_8.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_8.png", "instructions": [["translate", [0, 10]], ["rotate", 30], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse slightly upward. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse a little to the right and significantly upward. <shapeB_step_2>\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_12 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the left and slightly upward. <shapeB_step_0>
- Rotate the rectangle by -90 degrees clockwise around its center. <shapeB_step_1>
- Shift the rectangle to the left by a significant amount and significantly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-10, 10]], ['rotate', -90], ['translate', [-30, -30]]] | easy | {"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767], "edgecolor": "black", "center": [0, 0], "size": [33.31177726263126, 24.216419750428884]}, "shape_B": {"name": "rectangle", "facecolor": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241], "edgecolor": "black", "center": [0, 0], "size": [31.9857626998606, 20.511560514843]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_12.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_12.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_12.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_12.png", "instructions": [["translate", [-10, 10]], ["rotate", -90], ["translate", [-30, -30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and slightly upward. <shapeB_step_0>\n- Rotate the rectangle by -90 degrees clockwise around its center. <shapeB_step_1>\n- Shift the rectangle to the left by a significant amount and significantly downward. <shapeB_step_2>\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_13 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_0>
- Rotate the hexagon by -30 degrees clockwise around its center. <shapeB_step_1>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', -90], ['rotate', -30], ['scale', 0.5]] | easy | {"instance_id": 13, "shape_A": {"name": "ellipse", "facecolor": [0.10811345021104524, 0.8361200095693898, 0.04823505647294035], "edgecolor": "black", "center": [0, 0], "size": [33.11398888400325, 23.503631731017066]}, "shape_B": {"name": "hexagon", "facecolor": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077], "edgecolor": "black", "center": [0, 0], "size": 32.094128758857124}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_13.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_13.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_13.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_13.png", "instructions": [["rotate", -90], ["rotate", -30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by -30 degrees clockwise around its center. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\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_14 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon a little to the left and slightly upward. <shapeB_step_0>
- Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_1>
- Rotate the pentagon by 90 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-10, 10]], ['translate', [30, -10]], ['rotate', 90]] | easy | {"instance_id": 14, "shape_A": {"name": "ellipse", "facecolor": [0.05660477429555666, 0.26697826944429437, 0.7855321925948217], "edgecolor": "black", "center": [0, 0], "size": [32.809424916835184, 21.121536930740355]}, "shape_B": {"name": "pentagon", "facecolor": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732], "edgecolor": "black", "center": [0, 0], "size": 31.94443331053836}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_14.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_14.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_14.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_14.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_14.png", "instructions": [["translate", [-10, 10]], ["translate", [30, -10]], ["rotate", 90]], "correct_answer": {"easy": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon a little to the left and slightly upward. <shapeB_step_0>\n- Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_1>\n- Rotate the pentagon by 90 degrees counter-clockwise around its center. <shapeB_step_2>\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", "hard": "B"} | ||
easy_no_15 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_0>
- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_1>
- Reduce the size of the triangle, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['rotate', -60], ['rotate', -60], ['scale', 0.5]] | easy | {"instance_id": 15, "shape_A": {"name": "ellipse", "facecolor": [0.5197618455230746, 0.3750298817049422, 0.20541869616334685], "edgecolor": "black", "center": [0, 0], "size": [31.018468305961346, 22.76052474170135]}, "shape_B": {"name": "triangle", "facecolor": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561], "edgecolor": "black", "center": [0, 0], "size": 31.987270740977372}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_15.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_15.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_15.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_15.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_15.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_15.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_15.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_15.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_15.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_15.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_15.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_15.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_15.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_15.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_15.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_15.png", "instructions": [["rotate", -60], ["rotate", -60], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "C", "hard": "C"}, "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- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "C", "hard": "C"} | ||
easy_no_19 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Rotate the square by -60 degrees clockwise around its center. <shapeB_step_0>
- Shift the square to the right by a significant amount and significantly downward. <shapeB_step_1>
- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', -60], ['translate', [30, -30]], ['flip', 'horizontal']] | easy | {"instance_id": 19, "shape_A": {"name": "ellipse", "facecolor": [0.02491211279391181, 0.4536807357543369, 0.8966175072836458], "edgecolor": "black", "center": [0, 0], "size": [30.426532720171558, 23.536395593884862]}, "shape_B": {"name": "square", "facecolor": [0.6461015079296982, 0.09044080766027263, 0.5006577902523546], "edgecolor": "black", "center": [0, 0], "size": 33.66631165607066}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_19.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_19.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_19.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_19.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_19.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_19.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_19.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_19.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_19.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_19.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_19.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_19.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_19.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_19.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_19.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_19.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_19.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_19.png", "instructions": [["rotate", -60], ["translate", [30, -30]], ["flip", "horizontal"]], "correct_answer": {"easy": "B", "medium": "A"}, "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 to the right by a significant amount and significantly downward. <shapeB_step_1>\n- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\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"} | ||
easy_no_20 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>
- Shift the triangle slightly upward. <shapeB_step_1>
- Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, 30]], ['translate', [0, 10]], ['flip', 'vertical']] | easy | {"instance_id": 20, "shape_A": {"name": "hexagon", "facecolor": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394], "edgecolor": "black", "center": [0, 0], "size": 30.464580871643538}, "shape_B": {"name": "triangle", "facecolor": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406], "edgecolor": "black", "center": [0, 0], "size": 34.61391995682355}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_20.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_20.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_20.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_20.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_20.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_20.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_20.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_20.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_20.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_20.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_20.png", "instructions": [["translate", [-30, 30]], ["translate", [0, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Shift the triangle slightly upward. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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_21 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>
- Shift the circle significantly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [30, -10]], ['translate', [30, -10]], ['translate', [0, -30]]] | easy | {"instance_id": 21, "shape_A": {"name": "hexagon", "facecolor": [0.037865032018345346, 0.4832681320971439, 0.3685785987463919], "edgecolor": "black", "center": [0, 0], "size": 33.05035304607624}, "shape_B": {"name": "circle", "facecolor": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256], "edgecolor": "black", "center": [0, 0], "size": 33.65092734736551}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_21.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_21.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_21.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_21.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_21.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_21.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_21.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_21.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_21.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_21.png", "instructions": [["translate", [30, -10]], ["translate", [30, -10]], ["translate", [0, -30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>\n- Shift the circle significantly downward. <shapeB_step_2>\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": "C"} | ||
easy_no_23 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>
- Shift the ellipse a little to the left and significantly downward. <shapeB_step_1>
- Shift the ellipse a little to the right and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [30, -30]], ['translate', [-10, -30]], ['translate', [10, 10]]] | easy | {"instance_id": 23, "shape_A": {"name": "square", "facecolor": [0.7545502714552252, 0.7823708141132708, 0.9200980708136556], "edgecolor": "black", "center": [0, 0], "size": 30.069921557934535}, "shape_B": {"name": "ellipse", "facecolor": [0.9418449795050595, 0.9487916050832819, 0.3478365417734032], "edgecolor": "black", "center": [0, 0], "size": [34.508301457539865, 22.68563244507942]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_23.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_23.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_23.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_23.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_23.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_23.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_23.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_23.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_23.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_23.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_23.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_23.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_23.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_23.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_23.png", "instructions": [["translate", [30, -30]], ["translate", [-10, -30]], ["translate", [10, 10]]], "correct_answer": {"easy": "B", "medium": "A", "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 left and significantly downward. <shapeB_step_1>\n- Shift the ellipse a little to the right and slightly upward. <shapeB_step_2>\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_26 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the rectangle, making it smaller. <shapeB_step_0>
- Shift the rectangle a little to the right and slightly upward. <shapeB_step_1>
- Shift the rectangle a little to the left and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['scale', 0.5], ['translate', [10, 10]], ['translate', [-10, 30]]] | easy | {"instance_id": 26, "shape_A": {"name": "ellipse", "facecolor": [0.4940113214438937, 0.5517851873768139, 0.6598384211869152], "edgecolor": "black", "center": [0, 0], "size": [30.959257738577843, 23.389893584814573]}, "shape_B": {"name": "rectangle", "facecolor": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723], "edgecolor": "black", "center": [0, 0], "size": [31.139825876094516, 22.615399797592268]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_26.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_26.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_26.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_26.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_26.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_26.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_26.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_26.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_26.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_26.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_26.png", "instructions": [["scale", 0.5], ["translate", [10, 10]], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "C"}, "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- Shift the rectangle a little to the right and slightly upward. <shapeB_step_1>\n- Shift the rectangle a little to the left and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "C", "hard": "C"} | ||
easy_no_29 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Reduce the size of the square, making it smaller. <shapeB_step_0>
- Shift the square a little to the right and slightly upward. <shapeB_step_1>
- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['scale', 0.5], ['translate', [10, 10]], ['rotate', 60]] | easy | {"instance_id": 29, "shape_A": {"name": "ellipse", "facecolor": [0.4220150118646, 0.5498486105722737, 0.26067444221513203], "edgecolor": "black", "center": [0, 0], "size": [33.22785612913323, 23.57222483948403]}, "shape_B": {"name": "square", "facecolor": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665], "edgecolor": "black", "center": [0, 0], "size": 31.018814484423327}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_29.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_29.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_29.png", "instructions": [["scale", 0.5], ["translate", [10, 10]], ["rotate", 60]], "correct_answer": {"easy": "C", "medium": "A", "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 a little to the right and slightly upward. <shapeB_step_1>\n- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_2>\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": "C"} | ||
easy_no_30 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the hexagon a little to the right and slightly downward. <shapeB_step_1>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', 30], ['translate', [10, -10]], ['scale', 0.5]] | easy | {"instance_id": 30, "shape_A": {"name": "ellipse", "facecolor": [0.6817364820414853, 0.1274339878923274, 0.7510899064272099], "edgecolor": "black", "center": [0, 0], "size": [33.42218832062576, 20.2601991846528]}, "shape_B": {"name": "hexagon", "facecolor": [0.7803374967110643, 0.39987602458788885, 0.7259945565727446], "edgecolor": "black", "center": [0, 0], "size": 34.149178800811654}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_30.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_30.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_30.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_30.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_30.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_30.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_30.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_30.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_30.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_30.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_30.png", "instructions": [["rotate", 30], ["translate", [10, -10]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "D", "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 counter-clockwise around its center. <shapeB_step_0>\n- Shift the hexagon a little to the right and slightly downward. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "D", "hard": "A"} | ||
easy_no_31 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>
- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the circle to the right by a significant amount. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [30, -10]], ['rotate', 90], ['translate', [30, 0]]] | easy | {"instance_id": 31, "shape_A": {"name": "pentagon", "facecolor": [0.2588346176103514, 0.8524750785554671, 0.296363686831703], "edgecolor": "black", "center": [0, 0], "size": 30.664856965483533}, "shape_B": {"name": "circle", "facecolor": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887], "edgecolor": "black", "center": [0, 0], "size": 31.342573260968585}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_31.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_31.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_31.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_31.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_31.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_31.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_31.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_31.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_31.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_31.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_31.png", "instructions": [["translate", [30, -10]], ["rotate", 90], ["translate", [30, 0]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the circle to the right by a significant amount. <shapeB_step_2>\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_32 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the rectangle by -60 degrees clockwise around its center. <shapeB_step_1>
- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['rotate', 60], ['rotate', -60], ['translate', [30, -10]]] | easy | {"instance_id": 32, "shape_A": {"name": "square", "facecolor": [0.8310679928489868, 0.4164948698112161, 0.7654177038552202], "edgecolor": "black", "center": [0, 0], "size": 32.118103827532515}, "shape_B": {"name": "rectangle", "facecolor": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219], "edgecolor": "black", "center": [0, 0], "size": [34.74120981529268, 22.27148255535051]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_32.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_32.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_32.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_32.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_32.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_32.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_32.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_32.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_32.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_32.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_32.png", "instructions": [["rotate", 60], ["rotate", -60], ["translate", [30, -10]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the rectangle by -60 degrees clockwise around its center. <shapeB_step_1>\n- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_2>\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": "A"} | ||
easy_no_33 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the rectangle a little to the left and significantly upward. <shapeB_step_1>
- Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['rotate', 90], ['translate', [-10, 30]], ['rotate', 90]] | easy | {"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041], "edgecolor": "black", "center": [0, 0], "size": 31.81736055236322}, "shape_B": {"name": "rectangle", "facecolor": [0.8951348445353484, 0.4989122606375366, 0.454807857526233], "edgecolor": "black", "center": [0, 0], "size": [34.85840322705855, 22.441294977053726]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_33.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_33.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_33.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_33.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_33.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_33.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_33.png", "instructions": [["rotate", 90], ["translate", [-10, 30]], ["rotate", 90]], "correct_answer": {"easy": "A", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the rectangle a little to the left and significantly upward. <shapeB_step_1>\n- Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_2>\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": "C"} | ||
easy_no_34 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1>
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['translate', [30, 10]], ['translate', [30, 10]], ['translate', [30, 10]]] | easy | {"instance_id": 34, "shape_A": {"name": "circle", "facecolor": [0.749943679211488, 0.6238256910981901, 0.5447337411321853], "edgecolor": "black", "center": [0, 0], "size": 34.698084047982235}, "shape_B": {"name": "triangle", "facecolor": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922], "edgecolor": "black", "center": [0, 0], "size": 33.29340920837593}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_34.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_34.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_34.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_34.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_34.png", "instructions": [["translate", [30, 10]], ["translate", [30, 10]], ["translate", [30, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "C", "hard": "B"} | ||
easy_no_35 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the right and slightly downward. <shapeB_step_0>
- Shift the circle a little to the right and slightly downward. <shapeB_step_1>
- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [10, -10]], ['translate', [10, -10]], ['rotate', 60]] | easy | {"instance_id": 35, "shape_A": {"name": "square", "facecolor": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606], "edgecolor": "black", "center": [0, 0], "size": 34.731355305141214}, "shape_B": {"name": "circle", "facecolor": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453], "edgecolor": "black", "center": [0, 0], "size": 33.58132811665179}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_35.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_35.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_35.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_35.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_35.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_35.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_35.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_35.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_35.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_35.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_35.png", "instructions": [["translate", [10, -10]], ["translate", [10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly downward. <shapeB_step_0>\n- Shift the circle a little to the right and slightly downward. <shapeB_step_1>\n- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_2>\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": "D"} | ||
easy_no_37 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>
- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['rotate', 30], ['rotate', 60], ['rotate', -60]] | easy | {"instance_id": 37, "shape_A": {"name": "pentagon", "facecolor": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859], "edgecolor": "black", "center": [0, 0], "size": 31.037373899309713}, "shape_B": {"name": "triangle", "facecolor": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525], "edgecolor": "black", "center": [0, 0], "size": 34.788718071244226}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_37.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_37.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_37.png", "instructions": [["rotate", 30], ["rotate", 60], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "D", "hard": "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- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_2>\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_38 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_0>
- Shift the pentagon significantly upward. <shapeB_step_1>
- Rotate the pentagon by -30 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-30, 30]], ['translate', [0, 30]], ['rotate', -30]] | easy | {"instance_id": 38, "shape_A": {"name": "rectangle", "facecolor": [0.04577971988125684, 0.8017670960344266, 0.8732558095442269], "edgecolor": "black", "center": [0, 0], "size": [34.69185071228617, 21.029304805954144]}, "shape_B": {"name": "pentagon", "facecolor": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974], "edgecolor": "black", "center": [0, 0], "size": 32.217709187907495}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_38.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_38.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_38.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_38.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_38.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_38.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_38.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_38.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_38.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_38.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_38.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_38.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_38.png", "instructions": [["translate", [-30, 30]], ["translate", [0, 30]], ["rotate", -30]], "correct_answer": {"easy": "C", "hard": "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 upward. <shapeB_step_0>\n- Shift the pentagon significantly upward. <shapeB_step_1>\n- Rotate the pentagon by -30 degrees clockwise around its center. <shapeB_step_2>\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": "D"} | ||
easy_no_39 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the left. <shapeB_step_0>
- Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_1>
- Shift the rectangle slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-10, 0]], ['translate', [-30, -10]], ['translate', [0, 10]]] | easy | {"instance_id": 39, "shape_A": {"name": "triangle", "facecolor": [0.5895581313695151, 0.820106066291194, 0.509373985855203], "edgecolor": "black", "center": [0, 0], "size": 32.588388208199355}, "shape_B": {"name": "rectangle", "facecolor": [0.70011369239245, 0.7334431348998157, 0.7237074655738153], "edgecolor": "black", "center": [0, 0], "size": [32.466467333626646, 20.24143973604334]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_39.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_39.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_39.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_39.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_39.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_39.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_39.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_39.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_39.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_39.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_39.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_39.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_39.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_39.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_39.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_39.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_39.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_39.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_39.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_39.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_39.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_39.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_39.png", "instructions": [["translate", [-10, 0]], ["translate", [-30, -10]], ["translate", [0, 10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left. <shapeB_step_0>\n- Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_1>\n- Shift the rectangle slightly upward. <shapeB_step_2>\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": "C"} | ||
easy_no_40 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left and slightly downward. <shapeB_step_0>
- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>
- Reduce the size of the triangle, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-10, -10]], ['rotate', 60], ['scale', 0.5]] | easy | {"instance_id": 40, "shape_A": {"name": "pentagon", "facecolor": [0.020028373264683763, 0.9403551930677546, 0.102520730357612], "edgecolor": "black", "center": [0, 0], "size": 30.618214153237485}, "shape_B": {"name": "triangle", "facecolor": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456], "edgecolor": "black", "center": [0, 0], "size": 31.150026195926795}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_40.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_40.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_40.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_40.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_40.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_40.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_40.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_40.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_40.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_40.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_40.png", "instructions": [["translate", [-10, -10]], ["rotate", 60], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "C", "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 left and slightly downward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "C", "hard": "D"} | ||
easy_no_44 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the left and significantly upward. <shapeB_step_0>
- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Reduce the size of the ellipse, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-10, 30]], ['rotate', 30], ['scale', 0.5]] | easy | {"instance_id": 44, "shape_A": {"name": "square", "facecolor": [0.9520282695406308, 0.5074165021419356, 0.2714735608792638], "edgecolor": "black", "center": [0, 0], "size": 31.32881669521241}, "shape_B": {"name": "ellipse", "facecolor": [0.5229487959144409, 0.24469224554353997, 0.797269863929121], "edgecolor": "black", "center": [0, 0], "size": [34.58733417330939, 24.530704837409168]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_44.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_44.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_44.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_44.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_44.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_44.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_44.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_44.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_44.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_44.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_44.png", "instructions": [["translate", [-10, 30]], ["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "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 significantly upward. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Reduce the size of the ellipse, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "D", "hard": "B"} | ||
easy_no_46 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left. <shapeB_step_0>
- Shift the triangle a little to the left and significantly upward. <shapeB_step_1>
- Reduce the size of the triangle, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-10, 0]], ['translate', [-10, 30]], ['scale', 0.5]] | easy | {"instance_id": 46, "shape_A": {"name": "circle", "facecolor": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979], "edgecolor": "black", "center": [0, 0], "size": 33.99243616662593}, "shape_B": {"name": "triangle", "facecolor": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128], "edgecolor": "black", "center": [0, 0], "size": 31.12412428269297}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_46.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_46.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_46.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_46.png", "instructions": [["translate", [-10, 0]], ["translate", [-10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "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. <shapeB_step_0>\n- Shift the triangle a little to the left and significantly upward. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\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_47 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and significantly upward. <shapeB_step_0>
- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
- Shift the circle a little to the right and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, 30]], ['flip', 'horizontal'], ['translate', [10, 30]]] | easy | {"instance_id": 47, "shape_A": {"name": "rectangle", "facecolor": [0.5680786562216632, 0.3748360191237824, 0.06938923117303619], "edgecolor": "black", "center": [0, 0], "size": [34.07180737029744, 22.22553223484537]}, "shape_B": {"name": "circle", "facecolor": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697], "edgecolor": "black", "center": [0, 0], "size": 33.85991804962948}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_47.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_47.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_47.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_47.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_47.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_47.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_47.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_47.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_47.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_47.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_47.png", "instructions": [["translate", [-30, 30]], ["flip", "horizontal"], ["translate", [10, 30]]], "correct_answer": {"easy": "D", "medium": "C", "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 upward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Shift the circle a little to the right and significantly upward. <shapeB_step_2>\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_48 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon slightly downward. <shapeB_step_0>
- Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_1>
- Reduce the size of the pentagon, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [0, -10]], ['translate', [-30, -30]], ['scale', 0.5]] | easy | {"instance_id": 48, "shape_A": {"name": "circle", "facecolor": [0.21717813862624125, 0.551693073585068, 0.15671934678890898], "edgecolor": "black", "center": [0, 0], "size": 34.656262341390736}, "shape_B": {"name": "pentagon", "facecolor": [0.4685797635145371, 0.8680300991122848, 0.13055508406922411], "edgecolor": "black", "center": [0, 0], "size": 30.428750292266386}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_48.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_48.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_48.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_48.png", "instructions": [["translate", [0, -10]], ["translate", [-30, -30]], ["scale", 0.5]], "correct_answer": {"easy": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon slightly downward. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n- Reduce the size of the pentagon, making it smaller. <shapeB_step_2>\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"} | ||
easy_no_50 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>
- Rotate the triangle by -90 degrees clockwise around its center. <shapeB_step_1>
- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-30, 30]], ['rotate', -90], ['rotate', -60]] | easy | {"instance_id": 50, "shape_A": {"name": "rectangle", "facecolor": [0.2015859168333669, 0.6076185126325355, 0.3344857409281464], "edgecolor": "black", "center": [0, 0], "size": [31.000713175526233, 22.85103487728918]}, "shape_B": {"name": "triangle", "facecolor": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987], "edgecolor": "black", "center": [0, 0], "size": 33.73636518786139}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_50.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_50.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_50.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_50.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_50.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_50.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_50.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_50.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_50.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_50.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_50.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_50.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_50.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_50.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_50.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_50.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_50.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_50.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_50.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_50.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_50.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_50.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_50.png", "instructions": [["translate", [-30, 30]], ["rotate", -90], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Rotate the triangle by -90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "D", "hard": "D"} | ||
easy_no_51 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount and slightly upward. <shapeB_step_0>
- Reduce the size of the square, making it smaller. <shapeB_step_1>
- Shift the square slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, 10]], ['scale', 0.5], ['translate', [0, 10]]] | easy | {"instance_id": 51, "shape_A": {"name": "ellipse", "facecolor": [0.6712425594923082, 0.9631896083950368, 0.1880698147030062], "edgecolor": "black", "center": [0, 0], "size": [31.432585543544395, 20.44207999848012]}, "shape_B": {"name": "square", "facecolor": [0.01326906365722924, 0.8974081132116445, 0.6566100274250674], "edgecolor": "black", "center": [0, 0], "size": 33.51473467381774}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_51.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_51.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_51.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_51.png", "instructions": [["translate", [-30, 10]], ["scale", 0.5], ["translate", [0, 10]]], "correct_answer": {"easy": "D", "medium": "D"}, "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 upward. <shapeB_step_0>\n- Reduce the size of the square, making it smaller. <shapeB_step_1>\n- Shift the square slightly upward. <shapeB_step_2>\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_54 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left and significantly downward. <shapeB_step_0>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-10, -30]], ['flip', 'horizontal'], ['flip', 'horizontal']] | easy | {"instance_id": 54, "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_3_steps/shape_B_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_54.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_54.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_54.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_54.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_54.png", "instructions": [["translate", [-10, -30]], ["flip", "horizontal"], ["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- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\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_56 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the rectangle a little to the right and significantly downward. <shapeB_step_1>
- Shift the rectangle to the left by a significant amount and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['rotate', 30], ['translate', [10, -30]], ['translate', [-30, 10]]] | easy | {"instance_id": 56, "shape_A": {"name": "square", "facecolor": [0.8558501572429695, 0.5744136705919701, 0.924430672302241], "edgecolor": "black", "center": [0, 0], "size": 32.930961780230206}, "shape_B": {"name": "rectangle", "facecolor": [0.9218274815600159, 0.6275193355756751, 0.9774517456317529], "edgecolor": "black", "center": [0, 0], "size": [33.14423521615392, 23.3491814077612]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_56.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_56.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_56.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_56.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_56.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_56.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_56.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_56.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_56.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_56.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_56.png", "instructions": [["rotate", 30], ["translate", [10, -30]], ["translate", [-30, 10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "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 a little to the right and significantly downward. <shapeB_step_1>\n- Shift the rectangle to the left by a significant amount and slightly upward. <shapeB_step_2>\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_57 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>
- Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_1>
- Reduce the size of the square, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, -10]], ['flip', 'vertical'], ['scale', 0.5]] | easy | {"instance_id": 57, "shape_A": {"name": "triangle", "facecolor": [0.9987410233690914, 0.7723664762407402, 0.7786138030606878], "edgecolor": "black", "center": [0, 0], "size": 31.308039114832074}, "shape_B": {"name": "square", "facecolor": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722], "edgecolor": "black", "center": [0, 0], "size": 34.45102492555206}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_57.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_57.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_57.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_57.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_57.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_57.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_57.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_57.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_57.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_57.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_57.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_57.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_57.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_57.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_57.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_57.png", "instructions": [["translate", [-30, -10]], ["flip", "vertical"], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "B", "hard": "A"}, "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 vertical line x = 0. <shapeB_step_1>\n- Reduce the size of the square, making it smaller. <shapeB_step_2>\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": "A"} | ||
easy_no_59 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Rotate the pentagon by -90 degrees clockwise around its center. <shapeB_step_0>
- Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Rotate the pentagon by 90 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['rotate', -90], ['rotate', 30], ['rotate', 90]] | easy | {"instance_id": 59, "shape_A": {"name": "hexagon", "facecolor": [0.4406495499811689, 0.598835708808161, 0.3907379669123313], "edgecolor": "black", "center": [0, 0], "size": 33.7293150973487}, "shape_B": {"name": "pentagon", "facecolor": [0.05818199898537513, 0.9429309327082714, 0.8854355151931234], "edgecolor": "black", "center": [0, 0], "size": 32.4604705246161}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_59.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_59.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_59.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_59.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_59.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_59.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_59.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_59.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_59.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_59.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_59.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_59.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_59.png", "instructions": [["rotate", -90], ["rotate", 30], ["rotate", 90]], "correct_answer": {"easy": "C"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by -90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the pentagon by 90 degrees counter-clockwise around its center. <shapeB_step_2>\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"} | ||
easy_no_60 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by -60 degrees clockwise around its center. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_1>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['rotate', -60], ['translate', [-30, 30]], ['scale', 0.5]] | easy | {"instance_id": 60, "shape_A": {"name": "pentagon", "facecolor": [0.326639272138356, 0.1346342500308757, 0.5963232613110018], "edgecolor": "black", "center": [0, 0], "size": 33.954878042117414}, "shape_B": {"name": "hexagon", "facecolor": [0.9219289894190104, 0.8598438427503567, 0.57642955083343], "edgecolor": "black", "center": [0, 0], "size": 31.902478107796835}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_60.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_60.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_60.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_60.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_60.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_60.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_60.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_60.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_60.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_60.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_60.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_60.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_60.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_60.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_60.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_60.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_60.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_60.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_60.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_60.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_60.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_60.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_60.png", "instructions": [["rotate", -60], ["translate", [-30, 30]], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "A", "hard": "D"}, "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 upward. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\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": "D"} | ||
easy_no_61 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the right. <shapeB_step_0>
- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_1>
- Rotate the ellipse by -30 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [10, 0]], ['flip', 'vertical'], ['rotate', -30]] | easy | {"instance_id": 61, "shape_A": {"name": "rectangle", "facecolor": [0.7634442444384815, 0.08998068786400704, 0.16187435704324593], "edgecolor": "black", "center": [0, 0], "size": [32.26481564721713, 21.232515016715343]}, "shape_B": {"name": "ellipse", "facecolor": [0.8123361671474804, 0.6701944721210292, 0.44776120861919333], "edgecolor": "black", "center": [0, 0], "size": [31.145945017492, 20.39853788795975]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_61.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_61.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_61.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_61.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_61.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_61.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_61.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_61.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_61.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_61.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_61.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_61.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_61.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_61.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_61.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_61.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_61.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_61.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_61.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_61.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_61.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_61.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_61.png", "instructions": [["translate", [10, 0]], ["flip", "vertical"], ["rotate", -30]], "correct_answer": {"easy": "C", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right. <shapeB_step_0>\n- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n- Rotate the ellipse by -30 degrees clockwise around its center. <shapeB_step_2>\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_64 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse to the left by a significant amount. <shapeB_step_0>
- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the ellipse to the left by a significant amount and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-30, 0]], ['rotate', 60], ['translate', [-30, 30]]] | easy | {"instance_id": 64, "shape_A": {"name": "square", "facecolor": [0.6639878348318775, 0.4032816903425681, 0.6846023662624946], "edgecolor": "black", "center": [0, 0], "size": 33.726659582155456}, "shape_B": {"name": "ellipse", "facecolor": [0.2560335809291743, 0.7639408847787152, 0.823856385364805], "edgecolor": "black", "center": [0, 0], "size": [33.5887390001288, 21.256854641847156]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_64.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_64.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_64.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_64.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_64.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_64.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_64.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_64.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_64.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_64.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_64.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_64.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_64.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_64.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_64.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_64.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_64.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_64.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_64.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_64.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_64.png", "instructions": [["translate", [-30, 0]], ["rotate", 60], ["translate", [-30, 30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the left by a significant amount. <shapeB_step_0>\n- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse to the left by a significant amount and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "D", "hard": "B"} | ||
easy_no_67 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the pentagon, making it smaller. <shapeB_step_1>
- Shift the pentagon to the left by a significant amount and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['rotate', 30], ['scale', 0.5], ['translate', [-30, 10]]] | easy | {"instance_id": 67, "shape_A": {"name": "square", "facecolor": [0.20030411574476836, 0.44261622245424725, 0.2626556018816242], "edgecolor": "black", "center": [0, 0], "size": 30.77141499956529}, "shape_B": {"name": "pentagon", "facecolor": [0.1539686646022358, 0.5602130963682348, 0.6703529570852542], "edgecolor": "black", "center": [0, 0], "size": 30.285799554624667}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_67.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_67.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_67.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_67.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_67.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_67.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_67.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_67.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_67.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_67.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_67.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_67.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_67.png", "instructions": [["rotate", 30], ["scale", 0.5], ["translate", [-30, 10]]], "correct_answer": {"easy": "C"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the pentagon, making it smaller. <shapeB_step_1>\n- Shift the pentagon to the left by a significant amount and slightly upward. <shapeB_step_2>\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"} | ||
easy_no_69 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse to the right by a significant amount. <shapeB_step_0>
- Rotate the ellipse by -30 degrees clockwise around its center. <shapeB_step_1>
- Shift the ellipse a little to the right and significantly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['translate', [30, 0]], ['rotate', -30], ['translate', [10, -30]]] | easy | {"instance_id": 69, "shape_A": {"name": "rectangle", "facecolor": [0.44819504392769327, 0.2573786573403629, 0.7019908048493694], "edgecolor": "black", "center": [0, 0], "size": [30.08768433400843, 20.402767057933744]}, "shape_B": {"name": "ellipse", "facecolor": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921], "edgecolor": "black", "center": [0, 0], "size": [32.713684740800964, 20.708799429592535]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_69.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_69.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_69.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_69.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_69.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_69.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_69.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_69.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_69.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_69.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_69.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_69.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_69.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_69.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_69.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_69.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_69.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_69.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_69.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_69.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_69.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_69.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_69.png", "instructions": [["translate", [30, 0]], ["rotate", -30], ["translate", [10, -30]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "D"}, "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. <shapeB_step_0>\n- Rotate the ellipse by -30 degrees clockwise around its center. <shapeB_step_1>\n- Shift the ellipse a little to the right and significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "C", "hard": "D"} | ||
easy_no_70 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by -30 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_1>
- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['rotate', -30], ['translate', [-30, -10]], ['flip', 'vertical']] | easy | {"instance_id": 70, "shape_A": {"name": "hexagon", "facecolor": [0.508101811491622, 0.9708164574489425, 0.3493276156314574], "edgecolor": "black", "center": [0, 0], "size": 32.41139242399515}, "shape_B": {"name": "circle", "facecolor": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736], "edgecolor": "black", "center": [0, 0], "size": 30.3165034401549}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_70.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_70.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_70.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_70.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_70.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_70.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_70.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_70.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_70.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_70.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_70.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_70.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_70.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_70.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_70.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_70.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_70.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_70.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_70.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_70.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_70.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_70.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_70.png", "instructions": [["rotate", -30], ["translate", [-30, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by -30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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": "B"} | ||
easy_no_71 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the triangle, making it smaller. <shapeB_step_0>
- Shift the triangle significantly upward. <shapeB_step_1>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['scale', 0.5], ['translate', [0, 30]], ['flip', 'horizontal']] | easy | {"instance_id": 71, "shape_A": {"name": "rectangle", "facecolor": [0.6685933865999716, 0.17031118036261084, 0.8416981499364624], "edgecolor": "black", "center": [0, 0], "size": [31.291631774911167, 22.270540084960174]}, "shape_B": {"name": "triangle", "facecolor": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637], "edgecolor": "black", "center": [0, 0], "size": 31.346225011036392}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_71.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_71.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_71.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_71.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_71.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_71.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_71.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_71.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_71.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_71.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_71.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_71.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_71.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_71.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_71.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_71.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_71.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_71.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_71.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_71.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_71.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_71.png", "instructions": [["scale", 0.5], ["translate", [0, 30]], ["flip", "horizontal"]], "correct_answer": {"easy": "A", "medium": "B", "hard": "B"}, "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- Shift the triangle significantly upward. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\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": "B"} | ||
easy_no_73 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the left and significantly downward. <shapeB_step_0>
- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>
- Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['translate', [-10, -30]], ['translate', [30, 10]], ['flip', 'vertical']] | easy | {"instance_id": 73, "shape_A": {"name": "triangle", "facecolor": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874], "edgecolor": "black", "center": [0, 0], "size": 31.584942631209156}, "shape_B": {"name": "rectangle", "facecolor": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166], "edgecolor": "black", "center": [0, 0], "size": [33.77488913308872, 21.149583667217854]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_73.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_73.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_73.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_73.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_73.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_73.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_73.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_73.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_73.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_73.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_73.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_73.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_73.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_73.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_73.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_73.png", "instructions": [["translate", [-10, -30]], ["translate", [30, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and significantly downward. <shapeB_step_0>\n- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "C", "hard": "B"} | ||
easy_no_75 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>
- Reduce the size of the circle, making it smaller. <shapeB_step_1>
- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, -30]], ['scale', 0.5], ['flip', 'vertical']] | easy | {"instance_id": 75, "shape_A": {"name": "pentagon", "facecolor": [0.45674633042636925, 0.8316691933719237, 0.673254121332858], "edgecolor": "black", "center": [0, 0], "size": 32.716633341796395}, "shape_B": {"name": "circle", "facecolor": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003], "edgecolor": "black", "center": [0, 0], "size": 34.72535478969419}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_75.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_75.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_75.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_75.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_75.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_75.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_75.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_75.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_75.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_75.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_75.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_75.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_75.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_75.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_75.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_75.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_75.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_75.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_75.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_75.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_75.png", "instructions": [["translate", [-30, -30]], ["scale", 0.5], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "D", "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 significantly downward. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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": "B"} | ||
easy_no_76 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Reduce the size of the hexagon, making it smaller. <shapeB_step_0>
- Increase the size of the hexagon, making it larger. <shapeB_step_1>
- Shift the hexagon a little to the right and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['scale', 0.5], ['scale', 2.0], ['translate', [10, 10]]] | easy | {"instance_id": 76, "shape_A": {"name": "triangle", "facecolor": [0.025153213047019563, 0.6220392293342395, 0.3328962939724164], "edgecolor": "black", "center": [0, 0], "size": 30.845384641110222}, "shape_B": {"name": "hexagon", "facecolor": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272], "edgecolor": "black", "center": [0, 0], "size": 33.74726625827659}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_76.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_76.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_76.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_76.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_76.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_76.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_76.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_76.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_76.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_76.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_76.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["translate", [10, 10]]], "correct_answer": {"easy": "A", "medium": "C", "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- Increase the size of the hexagon, making it larger. <shapeB_step_1>\n- Shift the hexagon a little to the right and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "C", "hard": "D"} | ||
easy_no_77 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by -30 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle a little to the left and slightly downward. <shapeB_step_1>
- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', -30], ['translate', [-10, -10]], ['flip', 'vertical']] | easy | {"instance_id": 77, "shape_A": {"name": "ellipse", "facecolor": [0.4014485780221052, 0.310955357635772, 0.7439741786648469], "edgecolor": "black", "center": [0, 0], "size": [33.49433679884838, 20.525172859231922]}, "shape_B": {"name": "circle", "facecolor": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685], "edgecolor": "black", "center": [0, 0], "size": 34.36147527788715}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_77.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_77.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_77.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_77.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_77.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_77.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_77.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_77.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_77.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_77.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_77.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_77.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_77.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_77.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_77.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_77.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_77.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_77.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_77.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_77.png", "instructions": [["rotate", -30], ["translate", [-10, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by -30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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": "C"} | ||
easy_no_78 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Rotate the pentagon by -90 degrees clockwise around its center. <shapeB_step_0>
- Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_1>
- Reduce the size of the pentagon, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['rotate', -90], ['translate', [-30, -30]], ['scale', 0.5]] | easy | {"instance_id": 78, "shape_A": {"name": "hexagon", "facecolor": [0.429064303275531, 0.2573723776378606, 0.008834565537203853], "edgecolor": "black", "center": [0, 0], "size": 32.181670958196314}, "shape_B": {"name": "pentagon", "facecolor": [0.19185205311932751, 0.6562376226325828, 0.32166903027515026], "edgecolor": "black", "center": [0, 0], "size": 30.384872205059846}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_78.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_78.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_78.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_78.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_78.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_78.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_78.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_78.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_78.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_78.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_78.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_78.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_78.png", "instructions": [["rotate", -90], ["translate", [-30, -30]], ["scale", 0.5]], "correct_answer": {"easy": "C"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by -90 degrees clockwise around its center. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n- Reduce the size of the pentagon, making it smaller. <shapeB_step_2>\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"} | ||
easy_no_79 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon to the right by a significant amount and significantly downward. <shapeB_step_0>
- Shift the pentagon slightly upward. <shapeB_step_1>
- Shift the pentagon to the right by a significant amount and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [30, -30]], ['translate', [0, 10]], ['translate', [30, 10]]] | easy | {"instance_id": 79, "shape_A": {"name": "circle", "facecolor": [0.5197653273757065, 0.6365398131568445, 0.7856101452141103], "edgecolor": "black", "center": [0, 0], "size": 34.311317681526376}, "shape_B": {"name": "pentagon", "facecolor": [0.7789186400792133, 0.36241259653228186, 0.9239777715258781], "edgecolor": "black", "center": [0, 0], "size": 34.347881911336}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_79.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_79.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_79.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_79.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_79.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_79.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_79.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_79.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_79.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_79.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_79.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_79.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_79.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_79.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_79.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_79.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_79.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_79.png", "instructions": [["translate", [30, -30]], ["translate", [0, 10]], ["translate", [30, 10]]], "correct_answer": {"easy": "B", "medium": "A"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the pentagon slightly upward. <shapeB_step_1>\n- Shift the pentagon to the right by a significant amount and slightly upward. <shapeB_step_2>\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"} | ||
easy_no_81 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon a little to the right. <shapeB_step_0>
- Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_1>
- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [10, 0]], ['rotate', -90], ['rotate', 30]] | easy | {"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.31574854143276976, 0.4047041915128613, 0.012732729701919854], "edgecolor": "black", "center": [0, 0], "size": [34.17912552445489, 22.988101159119363]}, "shape_B": {"name": "hexagon", "facecolor": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172], "edgecolor": "black", "center": [0, 0], "size": 31.049835997060754}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_81.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_81.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_81.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_81.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_81.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_81.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_81.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_81.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_81.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_81.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_81.png", "instructions": [["translate", [10, 0]], ["rotate", -90], ["rotate", 30]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right. <shapeB_step_0>\n- Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_2>\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_82 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the circle, making it smaller. <shapeB_step_1>
- Shift the circle a little to the left and significantly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', 30], ['scale', 0.5], ['translate', [-10, -30]]] | easy | {"instance_id": 82, "shape_A": {"name": "triangle", "facecolor": [0.7926721683585463, 0.8039064957759225, 0.9978021711720083], "edgecolor": "black", "center": [0, 0], "size": 32.43080905873159}, "shape_B": {"name": "circle", "facecolor": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391], "edgecolor": "black", "center": [0, 0], "size": 31.921836513045147}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_82.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_82.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_82.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_82.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_82.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_82.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_82.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_82.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_82.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_82.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_82.png", "instructions": [["rotate", 30], ["scale", 0.5], ["translate", [-10, -30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "B", "hard": "B"} | ||
easy_no_83 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the rectangle to the left by a significant amount and significantly upward. <shapeB_step_1>
- Reduce the size of the rectangle, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', 60], ['translate', [-30, 30]], ['scale', 0.5]] | easy | {"instance_id": 83, "shape_A": {"name": "square", "facecolor": [0.6423890374620377, 0.5636619492293043, 0.163942404281597], "edgecolor": "black", "center": [0, 0], "size": 31.61080007404361}, "shape_B": {"name": "rectangle", "facecolor": [0.603469992875164, 0.4324866495197185, 0.24189550591270526], "edgecolor": "black", "center": [0, 0], "size": [33.8154328302989, 24.077385753198826]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_83.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_83.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_83.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_83.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_83.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_83.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_83.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_83.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_83.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_83.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_83.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_83.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_83.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_83.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_83.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_83.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_83.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_83.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_83.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_83.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_83.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_83.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_83.png", "instructions": [["rotate", 60], ["translate", [-30, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the rectangle to the left by a significant amount and significantly upward. <shapeB_step_1>\n- Reduce the size of the rectangle, making it smaller. <shapeB_step_2>\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": "C"} | ||
easy_no_84 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the left by a significant amount and slightly downward. <shapeB_step_0>
- Rotate the hexagon by 60 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the hexagon a little to the right and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['translate', [-30, -10]], ['rotate', 60], ['translate', [10, 30]]] | easy | {"instance_id": 84, "shape_A": {"name": "square", "facecolor": [0.6429600234779433, 0.6489315441480195, 0.05780857302120157], "edgecolor": "black", "center": [0, 0], "size": 31.35509309885707}, "shape_B": {"name": "hexagon", "facecolor": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985], "edgecolor": "black", "center": [0, 0], "size": 32.83684506174342}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_84.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_84.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_84.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_84.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_84.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_84.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_84.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_84.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_84.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_84.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_84.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_84.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_84.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_84.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_84.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_84.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_84.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_84.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_84.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_84.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_84.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_84.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_84.png", "instructions": [["translate", [-30, -10]], ["rotate", 60], ["translate", [10, 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 to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Rotate the hexagon by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the hexagon a little to the right and significantly upward. <shapeB_step_2>\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_86 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square a little to the right and significantly downward. <shapeB_step_0>
- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_1>
- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['translate', [10, -30]], ['translate', [-30, -10]], ['flip', 'horizontal']] | easy | {"instance_id": 86, "shape_A": {"name": "hexagon", "facecolor": [0.2734574129257077, 0.47951271672996854, 0.6990504778128802], "edgecolor": "black", "center": [0, 0], "size": 30.62687466055209}, "shape_B": {"name": "square", "facecolor": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289], "edgecolor": "black", "center": [0, 0], "size": 32.43426702212025}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_86.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_86.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_86.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_86.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_86.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_86.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_86.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_86.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_86.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_86.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_86.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_86.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_86.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_86.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_86.png", "instructions": [["translate", [10, -30]], ["translate", [-30, -10]], ["flip", "horizontal"]], "correct_answer": {"easy": "A", "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 significantly downward. <shapeB_step_0>\n- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_1>\n- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "A", "hard": "D"} | ||
easy_no_87 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>
- Shift the circle a little to the left and slightly downward. <shapeB_step_1>
- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-30, -30]], ['translate', [-10, -10]], ['translate', [-30, -10]]] | easy | {"instance_id": 87, "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_3_steps/shape_B_87.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_87.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_87.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_87.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_87.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_87.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_87.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_87.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_87.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_87.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_87.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_87.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_87.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_87.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_87.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_87.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_87.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_87.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_87.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_87.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_87.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_87.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_87.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]], ["translate", [-30, -10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "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- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "B", "hard": "D"} | ||
easy_no_88 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by -30 degrees clockwise around its center. <shapeB_step_0>
- Reduce the size of the circle, making it smaller. <shapeB_step_1>
- Increase the size of the circle, making it larger. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['rotate', -30], ['scale', 0.5], ['scale', 2.0]] | easy | {"instance_id": 88, "shape_A": {"name": "triangle", "facecolor": [0.07969108996919705, 0.917970684447528, 0.49931702987600457], "edgecolor": "black", "center": [0, 0], "size": 31.08897493524463}, "shape_B": {"name": "circle", "facecolor": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963], "edgecolor": "black", "center": [0, 0], "size": 34.38489277094175}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_88.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_88.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_88.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_88.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_88.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_88.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_88.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_88.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_88.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_88.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_88.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_88.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_88.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_88.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_88.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_88.png", "instructions": [["rotate", -30], ["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "A", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by -30 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Increase the size of the circle, making it larger. <shapeB_step_2>\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": "C"} | ||
easy_no_89 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the rectangle, making it smaller. <shapeB_step_0>
- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>
- Rotate the rectangle by -30 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['scale', 0.5], ['translate', [30, 10]], ['rotate', -30]] | easy | {"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665], "edgecolor": "black", "center": [0, 0], "size": 34.68810527851148}, "shape_B": {"name": "rectangle", "facecolor": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074], "edgecolor": "black", "center": [0, 0], "size": [31.79145902423523, 20.92473276522844]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_89.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_89.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_89.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_89.png", "instructions": [["scale", 0.5], ["translate", [30, 10]], ["rotate", -30]], "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- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Rotate the rectangle by -30 degrees clockwise around its center. <shapeB_step_2>\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_90 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the right by a significant amount and significantly upward. <shapeB_step_0>
- Shift the square a little to the left. <shapeB_step_1>
- Reduce the size of the square, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [30, 30]], ['translate', [-10, 0]], ['scale', 0.5]] | easy | {"instance_id": 90, "shape_A": {"name": "circle", "facecolor": [0.584306789767937, 0.2155108620032714, 0.6848148172895291], "edgecolor": "black", "center": [0, 0], "size": 31.724444589483205}, "shape_B": {"name": "square", "facecolor": [0.269290885824507, 0.13848304057828498, 0.13099041264897604], "edgecolor": "black", "center": [0, 0], "size": 32.4637331337869}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_90.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_90.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_90.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_90.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_90.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_90.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_90.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_90.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_90.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_90.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_90.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_90.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_90.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_90.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_90.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_90.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_90.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_90.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_90.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_90.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_90.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_90.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_90.png", "instructions": [["translate", [30, 30]], ["translate", [-10, 0]], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "D", "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 and significantly upward. <shapeB_step_0>\n- Shift the square a little to the left. <shapeB_step_1>\n- Reduce the size of the square, making it smaller. <shapeB_step_2>\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_92 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle significantly downward. <shapeB_step_0>
- Shift the triangle slightly downward. <shapeB_step_1>
- Shift the triangle a little to the right and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [0, -30]], ['translate', [0, -10]], ['translate', [10, 10]]] | easy | {"instance_id": 92, "shape_A": {"name": "rectangle", "facecolor": [0.6389386519459306, 0.019812963459045818, 0.13610150525261633], "edgecolor": "black", "center": [0, 0], "size": [34.42064791105295, 23.45189776614389]}, "shape_B": {"name": "triangle", "facecolor": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127], "edgecolor": "black", "center": [0, 0], "size": 34.033798077777064}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_92.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_92.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_92.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_92.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_92.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_92.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_92.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_92.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_92.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_92.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_92.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_92.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_92.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_92.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_92.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_92.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_92.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_92.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_92.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_92.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_92.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_92.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_92.png", "instructions": [["translate", [0, -30]], ["translate", [0, -10]], ["translate", [10, 10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle significantly downward. <shapeB_step_0>\n- Shift the triangle slightly downward. <shapeB_step_1>\n- Shift the triangle a little to the right and slightly upward. <shapeB_step_2>\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_93 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the right by a significant amount and significantly upward. <shapeB_step_0>
- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [30, 30]], ['flip', 'horizontal'], ['flip', 'horizontal']] | easy | {"instance_id": 93, "shape_A": {"name": "rectangle", "facecolor": [0.4254019801119574, 0.8829701848440143, 0.17379983330709814], "edgecolor": "black", "center": [0, 0], "size": [34.220411786245975, 24.614735790284964]}, "shape_B": {"name": "circle", "facecolor": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966], "edgecolor": "black", "center": [0, 0], "size": 32.15743680449199}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_93.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_93.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_93.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_93.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_93.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_93.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_93.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_93.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_93.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_93.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_93.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_93.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_93.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_93.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_93.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_93.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_93.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_93.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_93.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_93.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_93.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_93.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_93.png", "instructions": [["translate", [30, 30]], ["flip", "horizontal"], ["flip", "horizontal"]], "correct_answer": {"easy": "B", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and significantly upward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\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": "B"} | ||
easy_no_95 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the right by a significant amount and slightly upward. <shapeB_step_0>
- Reduce the size of the square, making it smaller. <shapeB_step_1>
- Rotate the square by -60 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [30, 10]], ['scale', 0.5], ['rotate', -60]] | easy | {"instance_id": 95, "shape_A": {"name": "rectangle", "facecolor": [0.5173018026860433, 0.28752210418112745, 0.24449381052509633], "edgecolor": "black", "center": [0, 0], "size": [31.6673176394425, 24.83419011557521]}, "shape_B": {"name": "square", "facecolor": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223], "edgecolor": "black", "center": [0, 0], "size": 31.886862538795253}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_95.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_95.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_95.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_95.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_95.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_95.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_95.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_95.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_95.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_95.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_95.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_95.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_95.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_95.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_95.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_95.png", "instructions": [["translate", [30, 10]], ["scale", 0.5], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "A", "hard": "C"}, "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- Reduce the size of the square, making it smaller. <shapeB_step_1>\n- Rotate the square by -60 degrees clockwise around its center. <shapeB_step_2>\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": "C"} | ||
easy_no_96 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the right and slightly upward. <shapeB_step_0>
- Shift the circle a little to the left and significantly downward. <shapeB_step_1>
- Rotate the circle by -60 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [10, 10]], ['translate', [-10, -30]], ['rotate', -60]] | easy | {"instance_id": 96, "shape_A": {"name": "rectangle", "facecolor": [0.30832699302251243, 0.3075283277859332, 0.8676148596676885], "edgecolor": "black", "center": [0, 0], "size": [34.485957128789444, 24.36880658090851]}, "shape_B": {"name": "circle", "facecolor": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167], "edgecolor": "black", "center": [0, 0], "size": 31.410129930939956}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_96.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_96.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_96.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_96.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_96.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_96.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_96.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_96.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_96.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_96.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_96.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_96.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_96.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_96.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_96.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_96.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_96.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_96.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_96.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_96.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_96.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_96.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_96.png", "instructions": [["translate", [10, 10]], ["translate", [-10, -30]], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly upward. <shapeB_step_0>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_1>\n- Rotate the circle by -60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "D", "hard": "D"} | ||
easy_no_98 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon to the right by a significant amount and significantly downward. <shapeB_step_0>
- Rotate the pentagon by -30 degrees clockwise around its center. <shapeB_step_1>
- Flip the pentagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [30, -30]], ['rotate', -30], ['flip', 'horizontal']] | easy | {"instance_id": 98, "shape_A": {"name": "rectangle", "facecolor": [0.5607942509604132, 0.5885239568234014, 0.8827049664629678], "edgecolor": "black", "center": [0, 0], "size": [32.64360266730989, 23.851113595585208]}, "shape_B": {"name": "pentagon", "facecolor": [0.8078283932551233, 0.2558475052157898, 0.5105328988964795], "edgecolor": "black", "center": [0, 0], "size": 34.45459452147778}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_98.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_98.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_98.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_98.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_98.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_98.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_98.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_98.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_98.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_98.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_98.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_98.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_98.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_98.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_98.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_98.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_98.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_98.png", "instructions": [["translate", [30, -30]], ["rotate", -30], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "A"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Rotate the pentagon by -30 degrees clockwise around its center. <shapeB_step_1>\n- Flip the pentagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\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"} | ||
easy_no_99 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon significantly upward. <shapeB_step_0>
- Shift the hexagon a little to the left and significantly upward. <shapeB_step_1>
- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['translate', [0, 30]], ['translate', [-10, 30]], ['flip', 'vertical']] | easy | {"instance_id": 99, "shape_A": {"name": "triangle", "facecolor": [0.15538395037811115, 0.8979262330379228, 0.530903047125134], "edgecolor": "black", "center": [0, 0], "size": 34.034318871531745}, "shape_B": {"name": "hexagon", "facecolor": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005], "edgecolor": "black", "center": [0, 0], "size": 33.58158640921175}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_99.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_99.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_99.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_99.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_99.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_99.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_99.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_99.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_99.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_99.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_99.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_99.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_99.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_99.png", "instructions": [["translate", [0, 30]], ["translate", [-10, 30]], ["flip", "vertical"]], "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 - Shift the hexagon significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the left and significantly upward. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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_partial_0 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the left and significantly downward. <shapeB_step_0>
- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the circle a little to the right. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-10, -30]], ['rotate', 30], ['translate', [10, 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_3_steps/shape_B_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_0.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_0.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_0.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_0.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_0.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_0.png", "instructions": [["translate", [-10, -30]], ["rotate", 30], ["translate", [10, 0]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the left and significantly downward. <shapeB_step_0>\n- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the circle a little to the right. <shapeB_step_2>\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_partial_1 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the right by a significant amount and slightly upward. <shapeB_step_0>
- Shift the square a little to the left and slightly downward. <shapeB_step_1>
- Rotate the square by -30 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [30, 10]], ['translate', [-10, -10]], ['rotate', -30]] | easy | {"instance_id": 1, "shape_A": {"name": "rectangle", "facecolor": [0.5376344041016273, 0.5058846940487653, 0.1324565703664673], "edgecolor": "black", "center": [0, 0], "size": [34.39063482486796, 21.322329607435638]}, "shape_B": {"name": "square", "facecolor": [0.6211592554930928, 0.562993645638946, 0.09998124892458848], "edgecolor": "black", "center": [0, 0], "size": 30.51793250959106}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_1.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_1.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_1.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_1.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_1.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_1.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_1.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_1.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_1.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_1.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_1.png", "instructions": [["translate", [30, 10]], ["translate", [-10, -10]], ["rotate", -30]], "correct_answer": {"easy": "B", "medium": "A", "hard": "C"}, "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 a little to the left and slightly downward. <shapeB_step_1>\n- Rotate the square by -30 degrees clockwise around its center. <shapeB_step_2>\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": "C"} | ||
easy_partial_3 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon a little to the left and significantly downward. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount. <shapeB_step_1>
- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-10, -30]], ['translate', [-30, 0]], ['flip', 'vertical']] | easy | {"instance_id": 3, "shape_A": {"name": "rectangle", "facecolor": [0.4760931107841647, 0.7118424064727227, 0.44817454958657077], "edgecolor": "black", "center": [0, 0], "size": [33.606421656630346, 21.577739720029932]}, "shape_B": {"name": "hexagon", "facecolor": [0.5534729550102496, 0.34375739414620254, 0.996631463959332], "edgecolor": "black", "center": [0, 0], "size": 30.957704865052722}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_3.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_3.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_3.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_3.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_3.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_3.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_3.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_3.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_3.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_3.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_3.png", "instructions": [["translate", [-10, -30]], ["translate", [-30, 0]], ["flip", "vertical"]], "correct_answer": {"easy": "C", "medium": "B", "hard": "B"}, "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 downward. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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": "B"} | ||
easy_partial_4 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>
- Reduce the size of the square, making it smaller. <shapeB_step_1>
- Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, -10]], ['scale', 0.5], ['flip', 'vertical']] | easy | {"instance_id": 4, "shape_A": {"name": "triangle", "facecolor": [0.9541395926226761, 0.6267991790079878, 0.8874386829093233], "edgecolor": "black", "center": [0, 0], "size": 31.497330401220324}, "shape_B": {"name": "square", "facecolor": [0.623259400521998, 0.39748332388577345, 0.08031532057944901], "edgecolor": "black", "center": [0, 0], "size": 33.51945414664519}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_4.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_4.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_4.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_4.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_4.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_4.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_4.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_4.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_4.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_4.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_4.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_4.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_4.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_4.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_4.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_4.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_4.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_4.png", "instructions": [["translate", [-30, -10]], ["scale", 0.5], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "A"}, "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- Reduce the size of the square, making it smaller. <shapeB_step_1>\n- Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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"} | ||
easy_partial_5 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon a little to the right and significantly upward. <shapeB_step_0>
- Shift the hexagon a little to the right and significantly upward. <shapeB_step_1>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [10, 30]], ['translate', [10, 30]], ['scale', 0.5]] | easy | {"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.221549756418285, 0.6151068362844365, 0.7272429971637352], "edgecolor": "black", "center": [0, 0], "size": [34.496333825617675, 21.61055909873163]}, "shape_B": {"name": "hexagon", "facecolor": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873], "edgecolor": "black", "center": [0, 0], "size": 30.741669128301822}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_5.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_5.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_5.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_5.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_5.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_5.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_5.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_5.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_5.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_5.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_5.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_5.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_5.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_5.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_5.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_5.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_5.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_5.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_5.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_5.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_5.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_5.png", "instructions": [["translate", [10, 30]], ["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "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 right and significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the right and significantly upward. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\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": "D"} | ||
easy_partial_6 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the ellipse by -90 degrees clockwise around its center. <shapeB_step_1>
- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', 30], ['rotate', -90], ['rotate', 60]] | easy | {"instance_id": 6, "shape_A": {"name": "pentagon", "facecolor": [0.037607245571092074, 0.3687375994898128, 0.2870770326013192], "edgecolor": "black", "center": [0, 0], "size": 30.205113569264626}, "shape_B": {"name": "ellipse", "facecolor": [0.6313851200254293, 0.7963296791514282, 0.591419756831021], "edgecolor": "black", "center": [0, 0], "size": [32.90164703705595, 24.77115738361395]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_6.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_6.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_6.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_6.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_6.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_6.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_6.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_6.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_6.png", "instructions": [["rotate", 30], ["rotate", -90], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the ellipse by -90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_2>\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"} | ||
easy_partial_8 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse slightly upward. <shapeB_step_0>
- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the ellipse a little to the right and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [0, 10]], ['rotate', 30], ['translate', [10, 30]]] | easy | {"instance_id": 8, "shape_A": {"name": "square", "facecolor": [0.7643388435720192, 0.4123922224155927, 0.8425447168253485], "edgecolor": "black", "center": [0, 0], "size": 30.085712988012137}, "shape_B": {"name": "ellipse", "facecolor": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251], "edgecolor": "black", "center": [0, 0], "size": [34.54886682999383, 20.535082143472465]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_8.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_8.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_8.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_8.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_8.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_8.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_8.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_8.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_8.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_8.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_8.png", "instructions": [["translate", [0, 10]], ["rotate", 30], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse slightly upward. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse a little to the right and significantly upward. <shapeB_step_2>\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_partial_12 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the left and slightly upward. <shapeB_step_0>
- Rotate the rectangle by -90 degrees clockwise around its center. <shapeB_step_1>
- Shift the rectangle to the left by a significant amount and significantly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-10, 10]], ['rotate', -90], ['translate', [-30, -30]]] | easy | {"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767], "edgecolor": "black", "center": [0, 0], "size": [33.31177726263126, 24.216419750428884]}, "shape_B": {"name": "rectangle", "facecolor": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241], "edgecolor": "black", "center": [0, 0], "size": [31.9857626998606, 20.511560514843]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_12.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_12.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_12.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_12.png", "instructions": [["translate", [-10, 10]], ["rotate", -90], ["translate", [-30, -30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and slightly upward. <shapeB_step_0>\n- Rotate the rectangle by -90 degrees clockwise around its center. <shapeB_step_1>\n- Shift the rectangle to the left by a significant amount and significantly downward. <shapeB_step_2>\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_partial_13 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_0>
- Rotate the hexagon by -30 degrees clockwise around its center. <shapeB_step_1>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', -90], ['rotate', -30], ['scale', 0.5]] | easy | {"instance_id": 13, "shape_A": {"name": "ellipse", "facecolor": [0.10811345021104524, 0.8361200095693898, 0.04823505647294035], "edgecolor": "black", "center": [0, 0], "size": [33.11398888400325, 23.503631731017066]}, "shape_B": {"name": "hexagon", "facecolor": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077], "edgecolor": "black", "center": [0, 0], "size": 32.094128758857124}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_13.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_13.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_13.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_13.png", "instructions": [["rotate", -90], ["rotate", -30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by -30 degrees clockwise around its center. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\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_partial_14 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon a little to the left and slightly upward. <shapeB_step_0>
- Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_1>
- Rotate the pentagon by 90 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-10, 10]], ['translate', [30, -10]], ['rotate', 90]] | easy | {"instance_id": 14, "shape_A": {"name": "ellipse", "facecolor": [0.05660477429555666, 0.26697826944429437, 0.7855321925948217], "edgecolor": "black", "center": [0, 0], "size": [32.809424916835184, 21.121536930740355]}, "shape_B": {"name": "pentagon", "facecolor": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732], "edgecolor": "black", "center": [0, 0], "size": 31.94443331053836}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_14.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_14.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_14.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_14.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_14.png", "instructions": [["translate", [-10, 10]], ["translate", [30, -10]], ["rotate", 90]], "correct_answer": {"easy": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon a little to the left and slightly upward. <shapeB_step_0>\n- Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_1>\n- Rotate the pentagon by 90 degrees counter-clockwise around its center. <shapeB_step_2>\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", "hard": "B"} | ||
easy_partial_15 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_0>
- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_1>
- Reduce the size of the triangle, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['rotate', -60], ['rotate', -60], ['scale', 0.5]] | easy | {"instance_id": 15, "shape_A": {"name": "ellipse", "facecolor": [0.5197618455230746, 0.3750298817049422, 0.20541869616334685], "edgecolor": "black", "center": [0, 0], "size": [31.018468305961346, 22.76052474170135]}, "shape_B": {"name": "triangle", "facecolor": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561], "edgecolor": "black", "center": [0, 0], "size": 31.987270740977372}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_15.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_15.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_15.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_15.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_15.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_15.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_15.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_15.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_15.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_15.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_15.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_15.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_15.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_15.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_15.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_15.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_15.png", "instructions": [["rotate", -60], ["rotate", -60], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "C", "hard": "C"}, "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- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "C", "hard": "C"} | ||
easy_partial_19 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Rotate the square by -60 degrees clockwise around its center. <shapeB_step_0>
- Shift the square to the right by a significant amount and significantly downward. <shapeB_step_1>
- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', -60], ['translate', [30, -30]], ['flip', 'horizontal']] | easy | {"instance_id": 19, "shape_A": {"name": "ellipse", "facecolor": [0.02491211279391181, 0.4536807357543369, 0.8966175072836458], "edgecolor": "black", "center": [0, 0], "size": [30.426532720171558, 23.536395593884862]}, "shape_B": {"name": "square", "facecolor": [0.6461015079296982, 0.09044080766027263, 0.5006577902523546], "edgecolor": "black", "center": [0, 0], "size": 33.66631165607066}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_19.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_19.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_19.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_19.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_19.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_19.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_19.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_19.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_19.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_19.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_19.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_19.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_19.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_19.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_19.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_19.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_19.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_19.png", "instructions": [["rotate", -60], ["translate", [30, -30]], ["flip", "horizontal"]], "correct_answer": {"easy": "B", "medium": "A"}, "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 to the right by a significant amount and significantly downward. <shapeB_step_1>\n- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\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"} | ||
easy_partial_20 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>
- Shift the triangle slightly upward. <shapeB_step_1>
- Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, 30]], ['translate', [0, 10]], ['flip', 'vertical']] | easy | {"instance_id": 20, "shape_A": {"name": "hexagon", "facecolor": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394], "edgecolor": "black", "center": [0, 0], "size": 30.464580871643538}, "shape_B": {"name": "triangle", "facecolor": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406], "edgecolor": "black", "center": [0, 0], "size": 34.61391995682355}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_20.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_20.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_20.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_20.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_20.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_20.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_20.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_20.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_20.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_20.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_20.png", "instructions": [["translate", [-30, 30]], ["translate", [0, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Shift the triangle slightly upward. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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_partial_21 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>
- Shift the circle significantly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [30, -10]], ['translate', [30, -10]], ['translate', [0, -30]]] | easy | {"instance_id": 21, "shape_A": {"name": "hexagon", "facecolor": [0.037865032018345346, 0.4832681320971439, 0.3685785987463919], "edgecolor": "black", "center": [0, 0], "size": 33.05035304607624}, "shape_B": {"name": "circle", "facecolor": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256], "edgecolor": "black", "center": [0, 0], "size": 33.65092734736551}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_21.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_21.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_21.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_21.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_21.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_21.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_21.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_21.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_21.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_21.png", "instructions": [["translate", [30, -10]], ["translate", [30, -10]], ["translate", [0, -30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>\n- Shift the circle significantly downward. <shapeB_step_2>\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": "C"} | ||
easy_partial_23 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>
- Shift the ellipse a little to the left and significantly downward. <shapeB_step_1>
- Shift the ellipse a little to the right and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [30, -30]], ['translate', [-10, -30]], ['translate', [10, 10]]] | easy | {"instance_id": 23, "shape_A": {"name": "square", "facecolor": [0.7545502714552252, 0.7823708141132708, 0.9200980708136556], "edgecolor": "black", "center": [0, 0], "size": 30.069921557934535}, "shape_B": {"name": "ellipse", "facecolor": [0.9418449795050595, 0.9487916050832819, 0.3478365417734032], "edgecolor": "black", "center": [0, 0], "size": [34.508301457539865, 22.68563244507942]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_23.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_23.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_23.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_23.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_23.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_23.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_23.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_23.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_23.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_23.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_23.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_23.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_23.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_23.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_23.png", "instructions": [["translate", [30, -30]], ["translate", [-10, -30]], ["translate", [10, 10]]], "correct_answer": {"easy": "B", "medium": "A", "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 left and significantly downward. <shapeB_step_1>\n- Shift the ellipse a little to the right and slightly upward. <shapeB_step_2>\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_partial_26 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the rectangle, making it smaller. <shapeB_step_0>
- Shift the rectangle a little to the right and slightly upward. <shapeB_step_1>
- Shift the rectangle a little to the left and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['scale', 0.5], ['translate', [10, 10]], ['translate', [-10, 30]]] | easy | {"instance_id": 26, "shape_A": {"name": "ellipse", "facecolor": [0.4940113214438937, 0.5517851873768139, 0.6598384211869152], "edgecolor": "black", "center": [0, 0], "size": [30.959257738577843, 23.389893584814573]}, "shape_B": {"name": "rectangle", "facecolor": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723], "edgecolor": "black", "center": [0, 0], "size": [31.139825876094516, 22.615399797592268]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_26.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_26.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_26.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_26.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_26.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_26.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_26.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_26.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_26.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_26.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_26.png", "instructions": [["scale", 0.5], ["translate", [10, 10]], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "C"}, "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- Shift the rectangle a little to the right and slightly upward. <shapeB_step_1>\n- Shift the rectangle a little to the left and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "C", "hard": "C"} | ||
easy_partial_29 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Reduce the size of the square, making it smaller. <shapeB_step_0>
- Shift the square a little to the right and slightly upward. <shapeB_step_1>
- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['scale', 0.5], ['translate', [10, 10]], ['rotate', 60]] | easy | {"instance_id": 29, "shape_A": {"name": "ellipse", "facecolor": [0.4220150118646, 0.5498486105722737, 0.26067444221513203], "edgecolor": "black", "center": [0, 0], "size": [33.22785612913323, 23.57222483948403]}, "shape_B": {"name": "square", "facecolor": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665], "edgecolor": "black", "center": [0, 0], "size": 31.018814484423327}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_29.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_29.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_29.png", "instructions": [["scale", 0.5], ["translate", [10, 10]], ["rotate", 60]], "correct_answer": {"easy": "C", "medium": "A", "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 a little to the right and slightly upward. <shapeB_step_1>\n- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_2>\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": "C"} | ||
easy_partial_30 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the hexagon a little to the right and slightly downward. <shapeB_step_1>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', 30], ['translate', [10, -10]], ['scale', 0.5]] | easy | {"instance_id": 30, "shape_A": {"name": "ellipse", "facecolor": [0.6817364820414853, 0.1274339878923274, 0.7510899064272099], "edgecolor": "black", "center": [0, 0], "size": [33.42218832062576, 20.2601991846528]}, "shape_B": {"name": "hexagon", "facecolor": [0.7803374967110643, 0.39987602458788885, 0.7259945565727446], "edgecolor": "black", "center": [0, 0], "size": 34.149178800811654}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_30.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_30.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_30.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_30.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_30.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_30.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_30.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_30.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_30.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_30.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_30.png", "instructions": [["rotate", 30], ["translate", [10, -10]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "D", "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 counter-clockwise around its center. <shapeB_step_0>\n- Shift the hexagon a little to the right and slightly downward. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "D", "hard": "A"} | ||
easy_partial_31 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>
- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the circle to the right by a significant amount. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [30, -10]], ['rotate', 90], ['translate', [30, 0]]] | easy | {"instance_id": 31, "shape_A": {"name": "pentagon", "facecolor": [0.2588346176103514, 0.8524750785554671, 0.296363686831703], "edgecolor": "black", "center": [0, 0], "size": 30.664856965483533}, "shape_B": {"name": "circle", "facecolor": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887], "edgecolor": "black", "center": [0, 0], "size": 31.342573260968585}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_31.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_31.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_31.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_31.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_31.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_31.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_31.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_31.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_31.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_31.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_31.png", "instructions": [["translate", [30, -10]], ["rotate", 90], ["translate", [30, 0]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the circle to the right by a significant amount. <shapeB_step_2>\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_partial_32 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the rectangle by -60 degrees clockwise around its center. <shapeB_step_1>
- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['rotate', 60], ['rotate', -60], ['translate', [30, -10]]] | easy | {"instance_id": 32, "shape_A": {"name": "square", "facecolor": [0.8310679928489868, 0.4164948698112161, 0.7654177038552202], "edgecolor": "black", "center": [0, 0], "size": 32.118103827532515}, "shape_B": {"name": "rectangle", "facecolor": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219], "edgecolor": "black", "center": [0, 0], "size": [34.74120981529268, 22.27148255535051]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_32.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_32.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_32.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_32.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_32.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_32.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_32.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_32.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_32.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_32.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_32.png", "instructions": [["rotate", 60], ["rotate", -60], ["translate", [30, -10]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the rectangle by -60 degrees clockwise around its center. <shapeB_step_1>\n- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_2>\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": "A"} | ||
easy_partial_33 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the rectangle a little to the left and significantly upward. <shapeB_step_1>
- Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['rotate', 90], ['translate', [-10, 30]], ['rotate', 90]] | easy | {"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041], "edgecolor": "black", "center": [0, 0], "size": 31.81736055236322}, "shape_B": {"name": "rectangle", "facecolor": [0.8951348445353484, 0.4989122606375366, 0.454807857526233], "edgecolor": "black", "center": [0, 0], "size": [34.85840322705855, 22.441294977053726]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_33.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_33.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_33.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_33.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_33.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_33.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_33.png", "instructions": [["rotate", 90], ["translate", [-10, 30]], ["rotate", 90]], "correct_answer": {"easy": "A", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the rectangle a little to the left and significantly upward. <shapeB_step_1>\n- Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_2>\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": "C"} | ||
easy_partial_34 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1>
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['translate', [30, 10]], ['translate', [30, 10]], ['translate', [30, 10]]] | easy | {"instance_id": 34, "shape_A": {"name": "circle", "facecolor": [0.749943679211488, 0.6238256910981901, 0.5447337411321853], "edgecolor": "black", "center": [0, 0], "size": 34.698084047982235}, "shape_B": {"name": "triangle", "facecolor": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922], "edgecolor": "black", "center": [0, 0], "size": 33.29340920837593}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_34.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_34.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_34.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_34.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_34.png", "instructions": [["translate", [30, 10]], ["translate", [30, 10]], ["translate", [30, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "C", "hard": "B"} | ||
easy_partial_35 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the right and slightly downward. <shapeB_step_0>
- Shift the circle a little to the right and slightly downward. <shapeB_step_1>
- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [10, -10]], ['translate', [10, -10]], ['rotate', 60]] | easy | {"instance_id": 35, "shape_A": {"name": "square", "facecolor": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606], "edgecolor": "black", "center": [0, 0], "size": 34.731355305141214}, "shape_B": {"name": "circle", "facecolor": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453], "edgecolor": "black", "center": [0, 0], "size": 33.58132811665179}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_35.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_35.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_35.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_35.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_35.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_35.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_35.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_35.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_35.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_35.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_35.png", "instructions": [["translate", [10, -10]], ["translate", [10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly downward. <shapeB_step_0>\n- Shift the circle a little to the right and slightly downward. <shapeB_step_1>\n- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_2>\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": "D"} | ||
easy_partial_37 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>
- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['rotate', 30], ['rotate', 60], ['rotate', -60]] | easy | {"instance_id": 37, "shape_A": {"name": "pentagon", "facecolor": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859], "edgecolor": "black", "center": [0, 0], "size": 31.037373899309713}, "shape_B": {"name": "triangle", "facecolor": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525], "edgecolor": "black", "center": [0, 0], "size": 34.788718071244226}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_37.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_37.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_37.png", "instructions": [["rotate", 30], ["rotate", 60], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "D", "hard": "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- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_2>\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_partial_38 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_0>
- Shift the pentagon significantly upward. <shapeB_step_1>
- Rotate the pentagon by -30 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-30, 30]], ['translate', [0, 30]], ['rotate', -30]] | easy | {"instance_id": 38, "shape_A": {"name": "rectangle", "facecolor": [0.04577971988125684, 0.8017670960344266, 0.8732558095442269], "edgecolor": "black", "center": [0, 0], "size": [34.69185071228617, 21.029304805954144]}, "shape_B": {"name": "pentagon", "facecolor": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974], "edgecolor": "black", "center": [0, 0], "size": 32.217709187907495}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_38.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_38.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_38.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_38.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_38.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_38.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_38.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_38.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_38.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_38.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_38.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_38.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_38.png", "instructions": [["translate", [-30, 30]], ["translate", [0, 30]], ["rotate", -30]], "correct_answer": {"easy": "C", "hard": "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 upward. <shapeB_step_0>\n- Shift the pentagon significantly upward. <shapeB_step_1>\n- Rotate the pentagon by -30 degrees clockwise around its center. <shapeB_step_2>\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": "D"} | ||
easy_partial_39 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the left. <shapeB_step_0>
- Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_1>
- Shift the rectangle slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-10, 0]], ['translate', [-30, -10]], ['translate', [0, 10]]] | easy | {"instance_id": 39, "shape_A": {"name": "triangle", "facecolor": [0.5895581313695151, 0.820106066291194, 0.509373985855203], "edgecolor": "black", "center": [0, 0], "size": 32.588388208199355}, "shape_B": {"name": "rectangle", "facecolor": [0.70011369239245, 0.7334431348998157, 0.7237074655738153], "edgecolor": "black", "center": [0, 0], "size": [32.466467333626646, 20.24143973604334]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_39.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_39.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_39.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_39.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_39.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_39.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_39.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_39.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_39.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_39.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_39.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_39.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_39.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_39.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_39.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_39.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_39.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_39.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_39.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_39.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_39.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_39.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_39.png", "instructions": [["translate", [-10, 0]], ["translate", [-30, -10]], ["translate", [0, 10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left. <shapeB_step_0>\n- Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_1>\n- Shift the rectangle slightly upward. <shapeB_step_2>\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": "C"} | ||
easy_partial_40 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left and slightly downward. <shapeB_step_0>
- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>
- Reduce the size of the triangle, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-10, -10]], ['rotate', 60], ['scale', 0.5]] | easy | {"instance_id": 40, "shape_A": {"name": "pentagon", "facecolor": [0.020028373264683763, 0.9403551930677546, 0.102520730357612], "edgecolor": "black", "center": [0, 0], "size": 30.618214153237485}, "shape_B": {"name": "triangle", "facecolor": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456], "edgecolor": "black", "center": [0, 0], "size": 31.150026195926795}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_40.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_40.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_40.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_40.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_40.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_40.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_40.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_40.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_40.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_40.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_40.png", "instructions": [["translate", [-10, -10]], ["rotate", 60], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "C", "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 left and slightly downward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "C", "hard": "D"} | ||
easy_partial_44 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the left and significantly upward. <shapeB_step_0>
- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Reduce the size of the ellipse, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-10, 30]], ['rotate', 30], ['scale', 0.5]] | easy | {"instance_id": 44, "shape_A": {"name": "square", "facecolor": [0.9520282695406308, 0.5074165021419356, 0.2714735608792638], "edgecolor": "black", "center": [0, 0], "size": 31.32881669521241}, "shape_B": {"name": "ellipse", "facecolor": [0.5229487959144409, 0.24469224554353997, 0.797269863929121], "edgecolor": "black", "center": [0, 0], "size": [34.58733417330939, 24.530704837409168]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_44.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_44.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_44.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_44.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_44.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_44.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_44.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_44.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_44.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_44.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_44.png", "instructions": [["translate", [-10, 30]], ["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "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 significantly upward. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Reduce the size of the ellipse, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "D", "hard": "B"} | ||
easy_partial_46 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left. <shapeB_step_0>
- Shift the triangle a little to the left and significantly upward. <shapeB_step_1>
- Reduce the size of the triangle, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-10, 0]], ['translate', [-10, 30]], ['scale', 0.5]] | easy | {"instance_id": 46, "shape_A": {"name": "circle", "facecolor": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979], "edgecolor": "black", "center": [0, 0], "size": 33.99243616662593}, "shape_B": {"name": "triangle", "facecolor": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128], "edgecolor": "black", "center": [0, 0], "size": 31.12412428269297}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_46.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_46.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_46.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_46.png", "instructions": [["translate", [-10, 0]], ["translate", [-10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "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. <shapeB_step_0>\n- Shift the triangle a little to the left and significantly upward. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\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_partial_47 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and significantly upward. <shapeB_step_0>
- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
- Shift the circle a little to the right and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, 30]], ['flip', 'horizontal'], ['translate', [10, 30]]] | easy | {"instance_id": 47, "shape_A": {"name": "rectangle", "facecolor": [0.5680786562216632, 0.3748360191237824, 0.06938923117303619], "edgecolor": "black", "center": [0, 0], "size": [34.07180737029744, 22.22553223484537]}, "shape_B": {"name": "circle", "facecolor": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697], "edgecolor": "black", "center": [0, 0], "size": 33.85991804962948}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_47.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_47.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_47.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_47.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_47.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_47.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_47.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_47.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_47.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_47.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_47.png", "instructions": [["translate", [-30, 30]], ["flip", "horizontal"], ["translate", [10, 30]]], "correct_answer": {"easy": "D", "medium": "C", "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 upward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Shift the circle a little to the right and significantly upward. <shapeB_step_2>\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_partial_48 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon slightly downward. <shapeB_step_0>
- Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_1>
- Reduce the size of the pentagon, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [0, -10]], ['translate', [-30, -30]], ['scale', 0.5]] | easy | {"instance_id": 48, "shape_A": {"name": "circle", "facecolor": [0.21717813862624125, 0.551693073585068, 0.15671934678890898], "edgecolor": "black", "center": [0, 0], "size": 34.656262341390736}, "shape_B": {"name": "pentagon", "facecolor": [0.4685797635145371, 0.8680300991122848, 0.13055508406922411], "edgecolor": "black", "center": [0, 0], "size": 30.428750292266386}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_48.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_48.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_48.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_48.png", "instructions": [["translate", [0, -10]], ["translate", [-30, -30]], ["scale", 0.5]], "correct_answer": {"easy": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon slightly downward. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n- Reduce the size of the pentagon, making it smaller. <shapeB_step_2>\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"} | ||
easy_partial_50 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>
- Rotate the triangle by -90 degrees clockwise around its center. <shapeB_step_1>
- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-30, 30]], ['rotate', -90], ['rotate', -60]] | easy | {"instance_id": 50, "shape_A": {"name": "rectangle", "facecolor": [0.2015859168333669, 0.6076185126325355, 0.3344857409281464], "edgecolor": "black", "center": [0, 0], "size": [31.000713175526233, 22.85103487728918]}, "shape_B": {"name": "triangle", "facecolor": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987], "edgecolor": "black", "center": [0, 0], "size": 33.73636518786139}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_50.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_50.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_50.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_50.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_50.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_50.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_50.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_50.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_50.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_50.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_50.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_50.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_50.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_50.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_50.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_50.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_50.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_50.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_50.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_50.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_50.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_50.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_50.png", "instructions": [["translate", [-30, 30]], ["rotate", -90], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Rotate the triangle by -90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "D", "hard": "D"} | ||
easy_partial_51 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount and slightly upward. <shapeB_step_0>
- Reduce the size of the square, making it smaller. <shapeB_step_1>
- Shift the square slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, 10]], ['scale', 0.5], ['translate', [0, 10]]] | easy | {"instance_id": 51, "shape_A": {"name": "ellipse", "facecolor": [0.6712425594923082, 0.9631896083950368, 0.1880698147030062], "edgecolor": "black", "center": [0, 0], "size": [31.432585543544395, 20.44207999848012]}, "shape_B": {"name": "square", "facecolor": [0.01326906365722924, 0.8974081132116445, 0.6566100274250674], "edgecolor": "black", "center": [0, 0], "size": 33.51473467381774}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_51.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_51.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_51.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_51.png", "instructions": [["translate", [-30, 10]], ["scale", 0.5], ["translate", [0, 10]]], "correct_answer": {"easy": "D", "medium": "D"}, "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 upward. <shapeB_step_0>\n- Reduce the size of the square, making it smaller. <shapeB_step_1>\n- Shift the square slightly upward. <shapeB_step_2>\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_partial_54 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left and significantly downward. <shapeB_step_0>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-10, -30]], ['flip', 'horizontal'], ['flip', 'horizontal']] | easy | {"instance_id": 54, "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_3_steps/shape_B_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_54.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_54.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_54.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_54.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_54.png", "instructions": [["translate", [-10, -30]], ["flip", "horizontal"], ["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- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\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_partial_56 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the rectangle a little to the right and significantly downward. <shapeB_step_1>
- Shift the rectangle to the left by a significant amount and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['rotate', 30], ['translate', [10, -30]], ['translate', [-30, 10]]] | easy | {"instance_id": 56, "shape_A": {"name": "square", "facecolor": [0.8558501572429695, 0.5744136705919701, 0.924430672302241], "edgecolor": "black", "center": [0, 0], "size": 32.930961780230206}, "shape_B": {"name": "rectangle", "facecolor": [0.9218274815600159, 0.6275193355756751, 0.9774517456317529], "edgecolor": "black", "center": [0, 0], "size": [33.14423521615392, 23.3491814077612]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_56.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <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_3_steps/composed_transformation_B_no_56.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_56.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_56.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_56.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_56.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_56.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_56.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_56.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_56.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_56.png", "instructions": [["rotate", 30], ["translate", [10, -30]], ["translate", [-30, 10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "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 a little to the right and significantly downward. <shapeB_step_1>\n- Shift the rectangle to the left by a significant amount and slightly upward. <shapeB_step_2>\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"} |
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