Simple Polygon

A polygon P is said to be simple (or a Jordan polygon) if the only points of the plane belonging to two polygon edges of P are the polygon vertices of P. Such a polygon has a well-defined interior and exterior. Simple polygons are topologically equivalent to a disk.


The breaking up of self-intersecting polygons into simple polygons (illustrated above) is also called polygon tessellation (Woo et al. 1999).

See also

Polygon, Polygon Tessellation, Regular Polygon, Simple Polyhedron, Two-Ears Theorem

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Toussaint, G. "Anthropomorphic Polygons." Amer. Math. Monthly 122, 31-35, 1991.Woo, M.; Neider, J.; Davis, T.; and Shreiner, D. Ch. 11 in OpenGL 1.2 Programming Guide, 3rd ed.: The Official Guide to Learning OpenGL, Version 1.2. Reading, MA: Addison-Wesley, 1999.

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Simple Polygon

Cite this as:

Weisstein, Eric W. "Simple Polygon." From MathWorld--A Wolfram Web Resource.

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