{ "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": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 160.0, 0.0 ], [ 0.0, 160.0 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 70.33716813000231, "ty": 291.91869514002724 } }, { "piece_id": "large_tri_2", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 160.0, 0.0 ], [ 0.0, 160.0 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 113.88632668034535, "ty": 42.312900304147334 } }, { "piece_id": "medium_tri", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 113.1371, 0.0 ], [ 0.0, 113.1371 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 654.2425293104128, "ty": 166.27135701793497 } }, { "piece_id": "square", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 80.0, 80.0 ], [ 0.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 200.9766283357663, "ty": 434.911623623541 } }, { "piece_id": "parallelogram", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 160.0, 80.0 ], [ 80.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 707.2429975518821, "ty": 364.8586286897232 } }, { "piece_id": "small_tri_1", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 0.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 452.46185446353326, "ty": 103.71226413860643 } }, { "piece_id": "small_tri_2", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 0.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 19.567671367433732, "ty": 198.89145895747708 } } ], "target_silhouette": [ [ [ 256.0, 200.0 ], [ 336.0, 280.0 ], [ 256.0, 280.0 ], [ 336.0, 360.0 ], [ 416.0, 360.0 ], [ 576.0, 360.0 ], [ 576.0, 280.0 ], [ 496.0, 280.0 ], [ 576.0, 200.0 ], [ 416.0, 200.0 ], [ 416.0, 120.0 ], [ 336.0, 120.0 ], [ 336.0, 200.0 ], [ 256.0, 120.0 ], [ 256.0, 200.0 ] ] ] }