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# Concave polygon

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 Title: Concave polygon Author: World Heritage Encyclopedia Language: English Subject: Collection: Polygons Publisher: World Heritage Encyclopedia Publication Date:

### Concave polygon

An example of a concave polygon.

A simple polygon that is not convex is called concave,[1] non-convex[2] or reentrant.[3] A simple concave polygon will always have an interior angle with a measure that is greater than 180 degrees.[4]

It is always possible to partition a concave polygon into a set of convex polygons. A polynomial-time algorithm for finding a decomposition into as few convex polygons as possible is described by Chazelle & Dobkin (1985).[5]

## Notes

1. ^ McConnell, Jeffrey J. (2006), Computer Graphics: Theory Into Practice, p. 130, .
2. ^ Leff, Lawrence (2008), Let's Review: Geometry, Hauppauge, NY: Barron's Educational Series, p. 66,
3. ^ Mason, J.I. (1946), "On the angles of a polygon", The Mathematical Gazette (The Mathematical Association) 30 (291): 237–238, .
4. ^ Definition and properties of concave polygons with interactive animation.
5. ^ .