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In geometry, a polygon can be either convex or concave.

- Every internal angle is less than 180 degrees or equal to 180 degrees.
- Every line segment between two vertices of the polygon does not go exterior to the polygon (i.e., it remains inside or on the boundary of the polygon).

A simple polygon is strictly convex if every internal angle is strictly less than 180 degrees. Equivalently, a polygon is strictly convex if every line segment between two nonadjacent vertices of the polygon is strictly interior to the polygon except at its endpoints.

Every nondegenerate triangle is strictly convex.

A polygon that is not convex is called concave. A concave polygon will always have an interior angle with a measure that is strictly greater than 180 degrees.

It is possible to cut a concave polygon into a set of convex polygons.

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Last updated on Friday October 10, 2008 at 09:55:32 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Friday October 10, 2008 at 09:55:32 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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