CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publicationsjournals
Publications        
Search results

Search: MSC category 51M20 ( Polyhedra and polytopes; regular figures, division of spaces [See also 51F15] )

  Expand all        Collapse all Results 1 - 1 of 1

1. CMB 2009 (vol 52 pp. 435)

Monson, B.; Schulte, Egon
Modular Reduction in Abstract Polytopes
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 $\mathbb{Z}[\tau]$ (with $\tau$ 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.

Keywords:abstract polytopes, regular and chiral, Coxeter groups, modular reduction
Categories:51M20, 20F55

© Canadian Mathematical Society, 2014 : https://cms.math.ca/