{ "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": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 93.3333, 0.0 ], [ 0.0, 93.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 17.868223427490975, "ty": 293.12096448401655 } }, { "piece_id": "large_tri_2", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 93.3333, 0.0 ], [ 0.0, 93.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 714.2507494000076, "ty": 271.7184615942926 } }, { "piece_id": "medium_tri", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 747.051698496456, "ty": 59.40050876646896 } }, { "piece_id": "square", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 46.6667, 0.0 ], [ 46.6667, 46.6667 ], [ 0.0, 46.6667 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 508.4558099478354, "ty": 369.14363598031434 } }, { "piece_id": "parallelogram", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 46.6667, 0.0 ], [ 93.3333, 46.6667 ], [ 46.6667, 46.6667 ] ], "start_pose": { "reflect": true, "rot_deg": 225.0, "tx": 650.0919826527889, "ty": 380.07615596216056 } }, { "piece_id": "small_tri_1", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 46.6667, 0.0 ], [ 0.0, 46.6667 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 190.52351108202149, "ty": 181.06933536010496 } }, { "piece_id": "small_tri_2", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 46.6667, 0.0 ], [ 0.0, 46.6667 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 205.41361806800816, "ty": 45.54069173901168 } } ], "target_silhouette": [ [ [ 346.0, 286.6667 ], [ 346.0, 333.3333 ], [ 392.6667, 380.0 ], [ 392.6667, 333.3333 ], [ 439.3333, 333.3333 ], [ 439.3333, 286.6667 ], [ 486.0, 240.0 ], [ 439.3333, 240.0 ], [ 392.6667, 286.6667 ], [ 392.6667, 240.0 ], [ 439.3333, 193.3333 ], [ 439.3333, 100.0 ], [ 346.0, 193.3333 ], [ 346.0, 286.6667 ] ] ] }