Petrie-Coxeter Maps Revisited
Metric Geometry
2007-05-23 v1 Combinatorics
Abstract
This paper presents a technique for constructing new chiral or regular polyhedra (or maps) from self-dual abstract chiral polytopes of rank 4. From improperly self-dual chiral polytopes we derive "Petrie-Coxeter-type" polyhedra (abstract chiral analogues of the classical Petrie-Coxeter polyhedra) and investigate their groups of automorphisms.
Keywords
Cite
@article{arxiv.math/0512157,
title = {Petrie-Coxeter Maps Revisited},
author = {Isabel Hubard and Egon Schulte and Asia Ivic Weiss},
journal= {arXiv preprint arXiv:math/0512157},
year = {2007}
}
Comments
15 pages. Contributions to Algebra and Geometry, to appear