Lay Out Rectangular Parts across Plywood or Sheet Stock

How to Use This Tool

Build a reproducible first-fit cut plan with kerf, rotation and waste reporting. Arrange repeated rectangular parts on sheet goods, preserve labels, account for kerf, preview coordinates, and export a practical cut list.

The work this page finishes

Cabinetmakers and DIY builders need labeled coordinates for repeated parts; a material total does not reveal whether the pieces fit or where each cut begins. For Sheet Cut Optimizer, the row-preserving workspace makes a correction repeatable without rebuilding a prompt or transmitting the source file.

Deterministic workflow

Expand quantities, sort rectangles by descending area, then place each part with a deterministic first-fit shelf heuristic while accounting for kerf and optional rotation. For Sheet Cut Optimizer, this page accepts at most 5,000 records and 2 MB of text; rejected items retain their row references while valid items remain available.

Why a dedicated interface helps

Use sheet numbers and coordinates as a planning aid, then sequence real cuts around saw access, grain direction, defects and safe workholding. For Sheet Cut Optimizer, immediate recalculation and a stable export are useful when the same rule must be applied consistently across a list instead of explained one item at a time.

Assumptions

• Dimensions use one consistent unit.
• Kerf is inserted between adjacent shelf placements.
• Rotation does not violate grain or finish direction.

For Sheet Cut Optimizer, retain the original source until the destination accepts the result; processing stays in this tab, although the device and installed extensions remain part of the user's security boundary.

Limitations and review boundary

The first-fit result is explicitly non-optimal and does not model grain, trim margins, guillotine-only cuts, clamps, defects or safe machine operation. For Sheet Cut Optimizer, no supplied URL is requested and no pasted markup or code is executed; output is inserted through text-only DOM operations.

Verification and provenance

The implementation was checked against Martello and Toth — Knapsack Problems: Algorithms and Computer Implementations on 2026-08-26, with fixtures for a known answer, an invalid input and a batch-specific edge condition. On one 1220 × 2440 mm sheet, the example places six labeled parts and reports the remaining unoccupied area.