Woodworking and sheet materials
Arrange rectangular parts across stock sheets while accounting for kerf, edge trim, rotation, and available stock.
Two-dimensional cutting planner
Fractions such as 12 1/2 are accepted. Blank quantity means unlimited sheets.
Efficient heuristic plan
6 parts placed; 0 unplaced.
| ID | Part | Size | Position | Rotation |
|---|---|---|---|---|
| 2.1 | Side | 400 × 1,200 mm | 5, 5 | No |
| 2.2 | Side | 400 × 1,200 mm | 408, 5 | No |
| 1.1 | Shelf | 300 × 800 mm | 811, 5 | No |
| 1.2 | Shelf | 300 × 800 mm | 5, 1,208 | No |
| 1.3 | Shelf | 800 × 300 mm | 5, 2,011 | 90° |
| 1.4 | Shelf | 300 × 800 mm | 308, 1,208 | No |
Reusable offcuts: 101 × 800 mm; 404 × 397 mm; 604 × 800 mm; 407 × 300 mm; 1,210 × 121 mm
Before planning
Confirm actual stock dimensions and saw kerf before cutting. See the shared calculation methodology.
Worked example
The default project places four 300 × 800 mm shelves and two grain-sensitive 400 × 1,200 mm sides on 1,220 × 2,440 mm sheets with a 3 mm kerf and 5 mm edge trim. The live production engine generates the displayed plan.
Method and limitations
The engine expands quantities, tries several deterministic guillotine-style orderings, and chooses by fewest sheets, then least waste, then fewer remaining rectangles. Coordinates and rotation are shown instead of an invented saw sequence.
This is an efficient bounded heuristic, not a proof of global optimality. Irregular parts, defects, grain matching, clamps, cut order, reusable offcuts, and workshop practice may produce a different or better arrangement.
No. Several repeatable strategies are compared, but another arrangement may use less material.
The part keeps its entered width and length orientation, which is useful for grain-sensitive work.
Yes. The plan reserves the entered kerf between adjacent placements created by the split.
No. Every stock sheet and part must be rectangular.
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