On hyperbolic Coxeter polytopes with mutually intersecting facets

نویسندگان

  • Anna Felikson
  • Pavel Tumarkin
چکیده

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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Coxeter polytopes with mutually intersecting facets .

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.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 115  شماره 

صفحات  -

تاریخ انتشار 2008