{ "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 ], [ 129.2995, 0.0 ], [ 0.0, 129.2995 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 183.79155722496787, "ty": 324.8041795391559 } }, { "piece_id": "large_tri_2", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 129.2995, 0.0 ], [ 0.0, 129.2995 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 151.4809598029975, "ty": 136.9404121220405 } }, { "piece_id": "medium_tri", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 91.4286, 0.0 ], [ 0.0, 91.4286 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 320.82384518866036, "ty": 449.23712523660186 } }, { "piece_id": "square", "color": [ 147, 94, 54 ], "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": 633.482112029175, "ty": 320.9520265946561 } }, { "piece_id": "parallelogram", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6498, 0.0 ], [ 129.2995, 64.6498 ], [ 64.6498, 64.6498 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 734.2003472719614, "ty": 271.79255124464663 } }, { "piece_id": "small_tri_1", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6498, 0.0 ], [ 0.0, 64.6498 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 722.5915941424166, "ty": 21.299605832928904 } }, { "piece_id": "small_tri_2", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6498, 0.0 ], [ 0.0, 64.6498 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 83.4762841215108, "ty": 359.4785859646935 } } ], "target_silhouette": [ [ [ 530.2857, 148.5714 ], [ 484.5714, 194.2857 ], [ 393.1428, 194.2857 ], [ 301.7142, 194.2857 ], [ 256.0, 240.0 ], [ 301.7142, 285.7143 ], [ 484.5714, 285.7143 ], [ 438.8571, 331.4286 ], [ 530.2857, 331.4286 ], [ 576.0, 285.7143 ], [ 576.0, 194.2857 ], [ 530.2857, 148.5714 ] ] ] }