Missouri State University's
High School Problem Page

Barth's Sixth-Degree Surface
rendered by Tore Nordstrand

A polygonal ring is a ring of congruent regular polygons (with a hole in the middle) such that every polygon shares an edge with some other polygon. Polygonal rings using equilateral triangles and squares are shown below.

For which n can a regular n-gon be used to form a polygonal ring?

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This page is maintained by Les Reid. Last updated May 22, 2013.