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Convex and concave polygons
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Wikipedia
In geometry, a polygon can be either convex or concave.
Convex polygons
A convex polygon is a simple polygon whose interior is a convex set. The following properties of a simple polygon are all equivalent to convexity:- Every internal angle is less than 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.
Concave polygons
A polygon that is not convex is called concave. A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
It is possible to cut a concave polygon into a set of convex polygons.
References
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This article is licensed under the GNU Free Documentation License.
Last updated on Monday June 30, 2008 at 18:25:43 PDT (GMT -0700)
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This article is licensed under the GNU Free Documentation License.
Last updated on Monday June 30, 2008 at 18:25:43 PDT (GMT -0700)
View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation
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