Count the number of regular and star polygons in a circle
Source: Romanian IMO Team Selection Test TST 1988, problem 3
October 1, 2005
geometrygeometric transformationrotationcombinatorics proposedcombinatorics
Problem Statement
Consider all regular convex and star polygons inscribed in a given circle and having sides. We call two such polygons to be equivalent if it is possible to obtain one from the other using a rotation about the center of the circle. How many classes of such polygons exist?
Mircea Becheanu