Star Polygons
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A star polygon connects every vertex of a regular -gon. The number is called the density of the star polygon, and we need only consider to generate all distinct star polygons that can be made from a regular -gon. If and are not relatively prime, the resulting star polygon is called improper and can be "factored" into two sub-polygons.
Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA
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"Star Polygons"
http://demonstrations.wolfram.com/StarPolygons/
Wolfram Demonstrations Project
Published: March 7 2011