Patterned Triply Periodic Polyhedra

Douglas Dunham
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012)
Pages 275–282 Regular papers


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.