Bridges 2012 Regular Paper

Patterned Triply Periodic Polyhedra
Douglas Dunham
(Proceedings pages 275–282)


This paper discusses repeating patterns on infinite skew polyhedra, which are triply periodic polyhedra. We exhibit patterns on each of the three regular skew polyhedra. These patterns are each related to corresponding repeating patterns in the hyperbolic plane. This correspondence will be explained in the paper.