Drag vertices to deform polygon. Shift-drag an existing vertex to create a new vertex. Click on a vertex to remove it.
You can print this page, and the polygon will resize to fit the paper.

One-Cut Helper

By Daniel Johnson, Judge Lee, and Jackson Warley.

The Fold-and-Cut Theorem allows any polygon to be cut from a single sheet of paper by folding it flat and making a single straight complete cut. The polygon is folded along its straight skeleton and some perpendiculars, endowed with mountain and valley information, enabling the boundary of the polygon to fall on a line.

Mountain Fold
Valley Fold
Mountain Fold
Valley Fold

This project was inspired by the Discrete and Computational Geometry course taught at Harvey Mudd College by Professor Satyan Devadoss.