On hyperbolic Coxeter polytopes with mutually intersecting facets

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:115

Article

Felikson, Anna¹  Tumarkin, Pavel¹ 

[1] Independent Univ Moscow, Moscow 119002, Russia

关键词: Coxeter polytope;    missing face;    gale diagram;    simple polytope;   

DOI  :  10.1016/j.jcta.2007.04.006

来源: Elsevier

【 摘 要 】

We prove that, apart from some well-known low-dimensional examples, any compact hyperbolic Coxeter polytope has a pair of disjoint facets. This is one of very few known general results concerning combinatorics of compact hyperbolic Coxeter polytopes. We also obtain a similar result for simple non-compact polytopes. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free