Star Polygon -- from Wolfram MathWorld

A star polygon {p/q}, with p,q positive integers, is a figure formed by connecting with straight lines every qth point out of p regularly spaced points lying on a circumference. The number q is called the polygon density of the star polygon. Without loss of generality, take q<p/2. The star polygons were first systematically studied by Thomas Bradwardine. The circumradius of a star polygon {p/q} with (p,q)=1 and unit edge lengths is given by R=(sin((p-2q)/(2p)pi))/(sin((2q)/ppi)), (1)

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Star Polygon -- from Wolfram MathWorld

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Star Polygon -- from Wolfram MathWorld

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Star Polygon -- from Wolfram MathWorld

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