Patterned Triply Periodic Polyhedra
Douglas Dunham

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

Abstract

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.

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