{ "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 ], [ 112.0, 0.0 ], [ 0.0, 112.0 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 730.6085476207039, "ty": 364.75373487917096 } }, { "piece_id": "large_tri_2", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 112.0, 0.0 ], [ 0.0, 112.0 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 144.3926883117544, "ty": 200.6909145306572 } }, { "piece_id": "medium_tri", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 79.196, 0.0 ], [ 0.0, 79.196 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 156.4075095088059, "ty": 23.21342419209501 } }, { "piece_id": "square", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 56.0, 0.0 ], [ 56.0, 56.0 ], [ 0.0, 56.0 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 734.0629344580034, "ty": 205.7534859553556 } }, { "piece_id": "parallelogram", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 56.0, 0.0 ], [ 112.0, 56.0 ], [ 56.0, 56.0 ] ], "start_pose": { "reflect": true, "rot_deg": 225.0, "tx": 633.5313917580615, "ty": 103.50308829585315 } }, { "piece_id": "small_tri_1", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 56.0, 0.0 ], [ 0.0, 56.0 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 314.89596331947394, "ty": 365.1115433816641 } }, { "piece_id": "small_tri_2", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 56.0, 0.0 ], [ 0.0, 56.0 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 201.76241638083067, "ty": 281.8395594284582 } } ], "target_silhouette": [ [ [ 304.0, 156.0 ], [ 360.0, 212.0 ], [ 304.0, 212.0 ], [ 416.0, 324.0 ], [ 472.0, 380.0 ], [ 472.0, 324.0 ], [ 528.0, 324.0 ], [ 472.0, 268.0 ], [ 528.0, 268.0 ], [ 528.0, 212.0 ], [ 416.0, 212.0 ], [ 416.0, 156.0 ], [ 360.0, 156.0 ], [ 304.0, 100.0 ], [ 304.0, 156.0 ] ] ] }