Plywood Sheet Optimizer

Lay out cut parts on the minimum number of sheets to cut cost and waste

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Sheet goods are expensive, and a careless cut order wastes both material and money. This optimizer takes your list of rectangular parts and packs them onto the fewest sheets it can, showing a cut diagram for each one so you can take it straight to the saw.

How it works

The tool uses a first-fit-decreasing-height shelf algorithm, a standard heuristic for guillotine cutting:

1. expand every part by its quantity into individual rectangles
2. add the saw kerf to each rectangle's width and height
3. sort rectangles tallest first
4. place each on the first shelf where it fits, rotating if that helps
5. open a new shelf, then a new sheet, only when nothing else fits

Material utilization is the total area of your parts divided by the total area of the sheets used, so you can see how much offcut a given layout leaves behind.

Example and tips

Cutting four 24×30 panels, six 12×48 strips, and two 36×18 pieces with a 1/8 in kerf typically fits on two 4×8 sheets at roughly 70 to 80 percent utilization. To reduce waste, batch similar heights together, cut long strips first, and keep offcuts labeled for the next job. If grain direction matters, enter parts so the long dimension always runs the same way and treat rotated placements with care.

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