Modular Reduction in Abstract Polytopes
Combinatorics
2019-08-15 v1 Metric Geometry
Abstract
The paper studies modular reduction techniques for abstract regular and chiral polytopes, with two purposes in mind: first, to survey the literature about modular reduction in polytopes; and second, to apply modular reduction, with moduli given by primes in Z[t] (with t=\tau the golden ratio), to construct new regular 4-polytopes of hyperbolic types {3,5,3} and {5,3,5} with automorphism groups given by finite orthogonal groups.
Cite
@article{arxiv.0805.1479,
title = {Modular Reduction in Abstract Polytopes},
author = {B. Monson and Egon Schulte},
journal= {arXiv preprint arXiv:0805.1479},
year = {2019}
}
Comments
16 pages; to appear in Canadian Mathematical Bulletin