Star Polygons

vertices

density

representation

line

polygon

A star polygon connects every

th

q

vertex of a regular

p

-gon. The number

q

is called the density of the star polygon, and we need only consider

q<p/2

to generate all distinct star polygons that can be made from a regular

p

-gon. If

p

and

q

are not relatively prime, the resulting star polygon is called improper and can be "factored" into two sub-polygons.

Michael Schreiber