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Star
Polygons |
The star polygon Star(n,d) is the figure formed by connecting with straight lines every dth point out of n regularly spaced points on a circle (Example). If all points aren't connected after the first pass, then start with the first unconnected point and repeat the procedure (Example). Even though we'll use the generic name "star polygon" for each of the figures we study, some are formally known as star figures (or improper star polygons). The star polygon Star(n,d) is technically a star figure if n and d are not relatively prime (e.g. Star(8,2)).
Recall that n and d are relatively prime if gcd(n,d)=1; that is, if n and d have no common factors.
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