Constructions of Chiral Polytopes of Small Rank
Combinatorics
2010-08-09 v1
Abstract
An abstract polytope of rank n is said to be chiral if its automorphism group has precisely two orbits on the flags, such that adjacent flags belong to distinct orbits. The present paper describes a general method for deriving new finite chiral polytopes from old finite chiral polytopes of the same rank. In particular, the technique is used to construct many new examples in ranks 3, 4 and 5.
Keywords
Cite
@article{arxiv.1008.1080,
title = {Constructions of Chiral Polytopes of Small Rank},
author = {Antonio Breda D'Azevedo and Gareth A. Jones and Egon Schulte},
journal= {arXiv preprint arXiv:1008.1080},
year = {2010}
}
Comments
30 pages; to appear in "Canadian Journal of Mathematics"