Concave polygon

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File:Simple polygon.svg
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

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  4. Definition and properties of concave polygons with interactive animation.
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