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Concave polygon

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Title: Concave polygon  
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Subject: Star polygon, Quadrilateral, Wikifun/Round 13/Answers/Question 5, Concave, Convex polygon
Collection: Polygons
Publisher: World Heritage Encyclopedia

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]


  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. ^  .

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