Chiral extensions of chiral polytopes
Combinatorics
2014-04-08 v2
Abstract
Given a chiral d-polytope K with regular facets, we describe a construction for a chiral (d + 1)-polytope P with facets isomorphic to K. Furthermore, P is finite whenever K is finite. We provide explicit examples of chiral 4-polytopes constructed in this way from chiral toroidal maps.
Keywords
Cite
@article{arxiv.1307.7007,
title = {Chiral extensions of chiral polytopes},
author = {Gabe Cunningham and Daniel Pellicer},
journal= {arXiv preprint arXiv:1307.7007},
year = {2014}
}
Comments
21 pages. [v2] includes several minor revisions for clarity