Guillotine Cutting Layouts vs. Free Nesting
Why the most compact screen layout is not always the layout you can execute with a table saw or track saw.
A free-nesting algorithm can place rectangles anywhere they fit. A guillotine layout repeatedly divides the remaining stock with full straight cuts. That distinction matters when the plan must be executed on a saw rather than admired on a screen.
A cut creates two new rectangles
Imagine every rip or crosscut continuing completely across the current workpiece. The cut divides one rectangle into two smaller rectangles, and each can be divided again. This tree-like structure produces layouts that are easier to sequence with common woodworking tools.
Free nesting may show a part trapped behind another part or require an internal cut that a table saw cannot make. It can achieve higher theoretical material use while creating a harder or impossible shop process.
Efficiency has more than one meaning
Sheet count matters, but so do handling, repeated fence settings, cut safety, part labeling, and the value of the leftovers. A plan with one percentage point more waste may be better if it uses fewer setup changes and leaves a rectangular offcut you can store.
Use the diagram as a planning proposal
This site's optimizer favors guillotine-style rectangular splits, but it does not know your equipment or material support. Review the sequence and choose safe cuts for your own setup. Never make an operation that conflicts with the saw manufacturer's instructions.