{ "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": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 113.137, 0.0 ], [ 0.0, 113.137 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 109.1192130845949, "ty": 349.8369001187583 } }, { "piece_id": "large_tri_2", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 113.137, 0.0 ], [ 0.0, 113.137 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 162.01770816328107, "ty": 319.28862579126553 } }, { "piece_id": "medium_tri", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 0.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 587.9420604887765, "ty": 111.03590415055962 } }, { "piece_id": "square", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 56.5685, 56.5685 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 667.6530140210209, "ty": 404.8043601500829 } }, { "piece_id": "parallelogram", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 113.137, 56.5685 ], [ 56.5685, 56.5685 ] ], "start_pose": { "reflect": true, "rot_deg": 225.0, "tx": 697.0542829533658, "ty": 80.86122296442143 } }, { "piece_id": "small_tri_1", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 56.04230400036293, "ty": 200.40733771695898 } }, { "piece_id": "small_tri_2", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 540.2123413390987, "ty": 346.79097433327763 } } ], "target_silhouette": [ [ [ 416.0001, 240.0 ], [ 416.0, 240.0 ], [ 416.0, 160.0 ], [ 376.0, 200.0 ], [ 336.0, 240.0 ], [ 256.0, 240.0001 ], [ 296.0001, 280.0 ], [ 336.0, 320.0 ], [ 496.0, 320.0 ], [ 576.0, 240.0 ], [ 496.0, 240.0 ], [ 416.0001, 160.0 ], [ 416.0001, 240.0 ] ] ] }