English

Regular polyhedra in the 3-torus

Combinatorics 2016-04-25 v1 Metric Geometry

Abstract

In this paper we discuss the classification rank 33 lattices preserved by finite orthogonal groups of isometries and derive from it the classification of regular polyhedra in the 33-dimensional torus. This classification is highly related to the classification of regular polyhedra in the 33-space.

Keywords

Cite

@article{arxiv.1604.06499,
  title  = {Regular polyhedra in the 3-torus},
  author = {Antonio Montero},
  journal= {arXiv preprint arXiv:1604.06499},
  year   = {2016}
}
R2 v1 2026-06-22T13:38:12.691Z