{ "canvas": { "width": 832, "height": 480 }, "instructions": "Rigidly move all seven pieces (translation + rotation; the parallelogram may also be reflected) so that together they exactly tile target_silhouette without overlaps. Report each piece's final pose.", "pieces": [ { "piece_id": "large_tri_1", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 113.137, 0.0 ], [ 0.0, 113.137 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 618.0819360215734, "ty": 385.3917066082819 } }, { "piece_id": "large_tri_2", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 113.137, 0.0 ], [ 0.0, 113.137 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 225.45070476392982, "ty": 55.965482349180824 } }, { "piece_id": "medium_tri", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 0.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 127.81046232992199, "ty": 331.3402701739276 } }, { "piece_id": "square", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 56.5685, 56.5685 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 88.73997951130765, "ty": 139.54353681934288 } }, { "piece_id": "parallelogram", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 113.137, 56.5685 ], [ 56.5685, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 364.5881712455922, "ty": 141.49693207889723 } }, { "piece_id": "small_tri_1", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 613.8615045201869, "ty": 219.80634340496823 } }, { "piece_id": "small_tri_2", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 607.9600625704282, "ty": 87.28442041689834 } } ], "target_silhouette": [ [ [ 416.0, 140.0001 ], [ 416.0, 220.0 ], [ 336.0, 300.0 ], [ 296.0, 340.0 ], [ 376.0, 340.0 ], [ 416.0, 379.9999 ], [ 416.0, 380.0 ], [ 496.0, 380.0 ], [ 496.0, 300.0 ], [ 536.0, 260.0 ], [ 496.0, 220.0 ], [ 456.0, 260.0 ], [ 456.0, 180.0 ], [ 455.9999, 100.0 ], [ 416.0, 140.0001 ] ] ] }