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 |
|---|---|---|---|---|---|---|---|---|
hard_all_w_ans_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]] | hard | {"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"} | ||
hard_all_w_ans_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.
| A | [['rotate', 30], ['translate', [10, -10]], ['scale', 0.5]] | hard | {"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"} | ||
hard_all_w_ans_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]]] | hard | {"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"} | ||
hard_all_w_ans_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.
| A | [['rotate', 60], ['rotate', -60], ['translate', [30, -10]]] | hard | {"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"} | ||
hard_all_w_ans_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.
| C | [['rotate', 90], ['translate', [-10, 30]], ['rotate', 90]] | hard | {"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"} | ||
hard_all_w_ans_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.
| B | [['translate', [30, 10]], ['translate', [30, 10]], ['translate', [30, 10]]] | hard | {"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"} | ||
hard_all_w_ans_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.
| D | [['translate', [10, -10]], ['translate', [10, -10]], ['rotate', 60]] | hard | {"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"} | ||
hard_all_w_ans_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]] | hard | {"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"} | ||
hard_all_w_ans_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.
| D | [['translate', [-30, 30]], ['translate', [0, 30]], ['rotate', -30]] | hard | {"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"} | ||
hard_all_w_ans_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]]] | hard | {"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"} | ||
hard_all_w_ans_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.
| D | [['translate', [-10, -10]], ['rotate', 60], ['scale', 0.5]] | hard | {"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"} | ||
hard_all_w_ans_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.
| B | [['translate', [-10, 30]], ['rotate', 30], ['scale', 0.5]] | hard | {"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"} | ||
hard_all_w_ans_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.
| C | [['translate', [-10, 0]], ['translate', [-10, 30]], ['scale', 0.5]] | hard | {"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"} | ||
hard_all_w_ans_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.
| C | [['translate', [-30, 30]], ['flip', 'horizontal'], ['translate', [10, 30]]] | hard | {"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"} | ||
hard_all_w_ans_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.
| D | [['translate', [-30, 30]], ['rotate', -90], ['rotate', -60]] | hard | {"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"} | ||
hard_all_w_ans_53 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon to the right by a significant amount and significantly upward. <shapeB_step_0>
- Flip the pentagon as if there's a mirror along the vertical line x = 0. <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]], ['flip', 'vertical'], ['flip', 'horizontal']] | hard | {"instance_id": 53, "shape_A": {"name": "rectangle", "facecolor": [0.6501668602735652, 0.9866789051675108, 0.3414826341233915], "edgecolor": "black", "center": [0, 0], "size": [31.685376282445628, 23.457120377185774]}, "shape_B": {"name": "pentagon", "facecolor": [0.5601876819391101, 0.6821837917358041, 0.5993418817297281], "edgecolor": "black", "center": [0, 0], "size": 33.145606863059534}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_53.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_53.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_53.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_53.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_53.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_53.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_53.png", "answer_choices": {"hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_53.png"}, "individual_answer_choices_path": {"hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_53.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_53.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_53.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_53.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_53.png", "instructions": [["translate", [30, 30]], ["flip", "vertical"], ["flip", "horizontal"]], "correct_answer": {"hard": "D"}, "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 upward. <shapeB_step_0>\n- Flip the pentagon as if there's a mirror along the vertical line x = 0. <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 "} | {"hard": "D"} | ||
hard_all_w_ans_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.
| B | [['translate', [-10, -30]], ['flip', 'horizontal'], ['flip', 'horizontal']] | hard | {"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"} | ||
hard_all_w_ans_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.
| B | [['rotate', 30], ['translate', [10, -30]], ['translate', [-30, 10]]] | hard | {"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"} | ||
hard_all_w_ans_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.
| A | [['translate', [-30, -10]], ['flip', 'vertical'], ['scale', 0.5]] | hard | {"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"} | ||
hard_all_w_ans_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]] | hard | {"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"} | ||
hard_all_w_ans_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.
| B | [['translate', [10, 0]], ['flip', 'vertical'], ['rotate', -30]] | hard | {"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"} | ||
hard_all_w_ans_63 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Reduce the size of the ellipse, making it smaller. <shapeB_step_0>
- Rotate the ellipse by 90 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.
| D | [['scale', 0.5], ['rotate', 90], ['translate', [-30, 30]]] | hard | {"instance_id": 63, "shape_A": {"name": "pentagon", "facecolor": [0.39633902490542516, 0.47417063642409796, 0.28660573448381255], "edgecolor": "black", "center": [0, 0], "size": 32.137487383689255}, "shape_B": {"name": "ellipse", "facecolor": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546], "edgecolor": "black", "center": [0, 0], "size": [34.583948838339225, 24.777557527999]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_63.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_63.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_63.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_63.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_63.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_63.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_63.png", "answer_choices": {"medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_63.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_63.png"}, "individual_answer_choices_path": {"medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_63.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_63.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_63.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_63.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_63.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_63.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_63.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_63.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_63.png", "instructions": [["scale", 0.5], ["rotate", 90], ["translate", [-30, 30]]], "correct_answer": {"medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the ellipse, making it smaller. <shapeB_step_0>\n- Rotate the ellipse by 90 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 "} | {"medium": "C", "hard": "D"} | ||
hard_all_w_ans_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.
| B | [['translate', [-30, 0]], ['rotate', 60], ['translate', [-30, 30]]] | hard | {"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"} | ||
hard_all_w_ans_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.
| D | [['translate', [30, 0]], ['rotate', -30], ['translate', [10, -30]]] | hard | {"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"} | ||
hard_all_w_ans_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.
| B | [['rotate', -30], ['translate', [-30, -10]], ['flip', 'vertical']] | hard | {"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"} | ||
hard_all_w_ans_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.
| B | [['scale', 0.5], ['translate', [0, 30]], ['flip', 'horizontal']] | hard | {"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"} | ||
hard_all_w_ans_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.
| B | [['translate', [-10, -30]], ['translate', [30, 10]], ['flip', 'vertical']] | hard | {"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"} | ||
hard_all_w_ans_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.
| B | [['translate', [-30, -30]], ['scale', 0.5], ['flip', 'vertical']] | hard | {"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"} | ||
hard_all_w_ans_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.
| D | [['scale', 0.5], ['scale', 2.0], ['translate', [10, 10]]] | hard | {"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"} | ||
hard_all_w_ans_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.
| C | [['rotate', -30], ['translate', [-10, -10]], ['flip', 'vertical']] | hard | {"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"} | ||
hard_all_w_ans_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.
| B | [['translate', [10, 0]], ['rotate', -90], ['rotate', 30]] | hard | {"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"} | ||
hard_all_w_ans_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]]] | hard | {"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"} | ||
hard_all_w_ans_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.
| C | [['rotate', 60], ['translate', [-30, 30]], ['scale', 0.5]] | hard | {"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"} | ||
hard_all_w_ans_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.
| B | [['translate', [-30, -10]], ['rotate', 60], ['translate', [10, 30]]] | hard | {"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"} | ||
hard_all_w_ans_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.
| D | [['translate', [10, -30]], ['translate', [-30, -10]], ['flip', 'horizontal']] | hard | {"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"} | ||
hard_all_w_ans_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.
| D | [['translate', [-30, -30]], ['translate', [-10, -10]], ['translate', [-30, -10]]] | hard | {"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"} | ||
hard_all_w_ans_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.
| C | [['rotate', -30], ['scale', 0.5], ['scale', 2.0]] | hard | {"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"} | ||
hard_all_w_ans_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]] | hard | {"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"} | ||
hard_all_w_ans_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.
| A | [['translate', [30, 30]], ['translate', [-10, 0]], ['scale', 0.5]] | hard | {"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"} | ||
hard_all_w_ans_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.
| C | [['translate', [0, -30]], ['translate', [0, -10]], ['translate', [10, 10]]] | hard | {"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"} | ||
hard_all_w_ans_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']] | hard | {"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"} | ||
hard_all_w_ans_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.
| C | [['translate', [30, 10]], ['scale', 0.5], ['rotate', -60]] | hard | {"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"} | ||
hard_all_w_ans_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.
| D | [['translate', [10, 10]], ['translate', [-10, -30]], ['rotate', -60]] | hard | {"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"} | ||
hard_all_w_ans_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']] | hard | {"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"} |
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