Edited by Jane Rosemarin
The equilateral triangle, the square, and the regular pentagon, hexagon and octagon are by far the most popular starting shapes used in origami design.
In this article, we describe a simple method for folding and one-cutting from a square a regular heptagon that may be considered exact for most practical purposes.
The folding and cutting steps for making the heptagon are shown below.
A straightforward geometric-trigonometric analysis shows that the angles between the lines from the center to two successive vertices of the heptagon in step 17 differ at most by around a sixth of a degree.
We hope that this method will encourage more origami design efforts based on the regular heptagon.