Regular polyhedra in the 3-torus

Published 21 Apr 2016 in math.CO and math.MG | (1604.06499v1)

Abstract: In this paper we discuss the classification rank $3$ lattices preserved by finite orthogonal groups of isometries and derive from it the classification of regular polyhedra in the $3$-dimensional torus. This classification is highly related to the classification of regular polyhedra in the $3$-space.

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Antonio Montero

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