Patterns on Triply Periodic Polyhedra

Abstract

This paper discusses patterns on triply periodic polyhedra, infinite polyhedra that repeat in three independent directions in Euclidean 3-space. We further require that all the vertices be congruent by a symmetry of the polyhedron, i.e. that they be uniform, and also that each of the faces is a single regular polygon. We believe that we are the first to… (More)

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