{ "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": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 129.2995, 0.0 ], [ 0.0, 129.2995 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 121.08734297540747, "ty": 257.4967236867695 } }, { "piece_id": "large_tri_2", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 129.2995, 0.0 ], [ 0.0, 129.2995 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 293.54101573171283, "ty": 331.9577698183223 } }, { "piece_id": "medium_tri", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 91.4286, 0.0 ], [ 0.0, 91.4286 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 441.0610459907999, "ty": 87.82621826306253 } }, { "piece_id": "square", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6498, 0.0 ], [ 64.6498, 64.6498 ], [ 0.0, 64.6498 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 722.8624745608621, "ty": 264.27593929514956 } }, { "piece_id": "parallelogram", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6498, 0.0 ], [ 129.2995, 64.6498 ], [ 64.6498, 64.6498 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 617.2907645997268, "ty": 50.48206682276761 } }, { "piece_id": "small_tri_1", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6498, 0.0 ], [ 0.0, 64.6498 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 646.2670093832492, "ty": 398.8647582130209 } }, { "piece_id": "small_tri_2", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6498, 0.0 ], [ 0.0, 64.6498 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 602.2106660484945, "ty": 168.74353518813473 } } ], "target_silhouette": [ [ [ 484.5714, 194.2857 ], [ 393.1428, 194.2857 ], [ 347.4285, 240.0 ], [ 301.7142, 194.2857 ], [ 256.0, 240.0 ], [ 301.7142, 285.7143 ], [ 347.4285, 331.4286 ], [ 393.1428, 377.1429 ], [ 438.8571, 331.4286 ], [ 484.5713, 285.7143 ], [ 484.5714, 285.7143 ], [ 576.0, 194.2857 ], [ 484.5714, 102.8571 ], [ 484.5714, 194.2857 ] ] ] }