Coxeter polytopes with mutually intersecting facets .
نویسندگان
چکیده
We prove that any compact hyperbolic Coxeter polytope except some well-known low-dimensional examples 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.
منابع مشابه
On hyperbolic Coxeter polytopes with mutually intersecting facets
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.
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تاریخ انتشار 2006