# Drilling an n-Gon Hole for Odd n

Drilling an n-Gon Hole for Odd n

The construction shown turns circular motion into polygonal motion that drills polygonal holes, provided the polygon is regular and has an odd number of sides. The rotor—the yellow shape that rotates within the large -gon—consists of circular arcs. As it rotates, the two centers of the smaller circles trace out an exact regular -gon. You can vary the size of the roller so as to get polygonal holes of different sizes without changing the ambient polygon.

n

n+1

n