English

Equivelar toroids with few flag-orbits

Combinatorics 2018-02-23 v1

Abstract

An (n+1)(n+1)-toroid is a quotient of a tessellation of the nn-dimensional Euclidean space with a lattice group. Toroids are generalizations of maps in the torus on higher dimensions and also provide examples of abstract polytopes. Equivelar toroids are those that are induced by regular tessellations. In this paper we present a classification of equivelar (n+1)(n+1)-toroids with at most nn flag-orbits; in particular, we discuss a classification of 22-orbit toroids of arbitrary dimension.

Keywords

Cite

@article{arxiv.1802.07837,
  title  = {Equivelar toroids with few flag-orbits},
  author = {José Collins and Antonio Montero},
  journal= {arXiv preprint arXiv:1802.07837},
  year   = {2018}
}
R2 v1 2026-06-23T00:29:31.927Z