{ "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 ], [ 140.0, 0.0 ], [ 0.0, 140.0 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 187.5247117853456, "ty": 245.45101376898796 } }, { "piece_id": "large_tri_2", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 140.0, 0.0 ], [ 0.0, 140.0 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 676.8861733927963, "ty": 374.84174201517527 } }, { "piece_id": "medium_tri", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 98.9949, 0.0 ], [ 0.0, 98.9949 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 99.79372971404086, "ty": 324.8015547041146 } }, { "piece_id": "square", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 70.0, 70.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 179.05402820748918, "ty": 53.13951679835667 } }, { "piece_id": "parallelogram", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 140.0, 70.0 ], [ 70.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 51.45819578983699, "ty": 201.60138973082562 } }, { "piece_id": "small_tri_1", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 667.2321865288258, "ty": 72.48478815855646 } }, { "piece_id": "small_tri_2", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 555.442173677776, "ty": 157.18772655115282 } } ], "target_silhouette": [ [ [ 381.0, 170.0 ], [ 311.0, 170.0 ], [ 381.0, 240.0 ], [ 381.0, 310.0 ], [ 311.0, 240.0 ], [ 311.0, 310.0 ], [ 311.0, 380.0 ], [ 381.0, 380.0 ], [ 521.0, 380.0 ], [ 521.0, 240.0 ], [ 451.0, 170.0 ], [ 451.0, 100.0 ], [ 381.0, 170.0 ] ] ] }