An algorithmic cutlist saves expensive lumber, but thoughtful cutting layout transforms good furniture into heirloom masterworks.
The Greedy Decreasing Algorithm
In computer science, finding the absolute minimum number of stock boards to satisfy a cut list is known as the 1D Bin Packing Problem, which is NP-hard. In practice, the First-Fit Decreasing (FFD) and Best-Fit Decreasing (BFD) heuristics produce results within 2% to 3% of the theoretical mathematical optimum.
The algorithm sorts all required pieces from longest to shortest, then places each piece onto the existing board that leaves the tightest remaining scrap space. If no open board can accommodate the piece plus saw kerf, a new stock board is opened. This prevents large boards from being fragmented by small cuts early in the process.
Accounting for Saw Blade Kerf
Every time a saw blade passes through lumber, it pulverizes a slice of wood into sawdust. This lost material is the kerf:
- Standard Table Saw Blade: 1/8" (0.125") kerf.
- Thin-Kerf Blade: 3/32" (0.094") kerf, saving 25% of wood loss per cut—ideal for low-horsepower contractor saws.
- Bandsaw Resaw Blade: 0.035" to 0.050" kerf, minimizing book-match veneer loss.
If you cut eight 11-7/8" shelves out of an 8-foot (96") board, seven 1/8" kerf cuts consume almost an entire inch (0.875") of stock. Neglecting kerf causes the final piece to fall short of dimension.
Grain Matching & Waterfall Wraps
While cutlist calculators optimize purely for yield and minimum board count, master furniture makers frequently break pure algorithmic efficiency in favor of continuous grain flow:
- Continuous Drawer Fronts: Cutting adjacent drawer faces sequentially from a single wide plank ensures the growth rings and cathedral grain flow seamlessly across the entire front of a credenza or dresser.
- Waterfall Miter Joints: Mitering the top and sides of a modern coffee table from a single continuous plank allows the wood grain to waterfall over the 90° corner.
- Table Aprons: Grouping apron pieces together so adjacent rails share identical wood tone and fiber curl.