## Turtlegons: Generating Simple Polygons from Sequences of Angles.

### Joseph Culberson and Gregory Rawlins

Proceedings of the First Annual
Symposium on Computational Geometry pages 305-310, 1985.
#### Abstract

In this paper we present an algorithm to create simple polygons with a
particular sequence of exterior angles, given only the sequence of
angles.
The algorithm has worst time complexity * O(Dn), *
where *n* is the number of angles, and *D* is dependent on the
angles. As a bonus, the algorithm proves an interesting converse of the ancient
theorem that the sum of the exterior angles of a simple polygon is * 2 pi
* radians.
joe@cs.ualberta.ca