Compact hyperbolic Coxeter \(n\)-polytopes with \(n+3\) facets

zbMath1168.51311arXivmath/0406226MaRDI QIDQ1010629

Pavel Tumarkin

Publication date: 7 April 2009

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406226

zbMATH Keywords

hyperbolic spaceCoxeter polytope

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Polyhedra and polytopes; regular figures, division of spaces (51M20) Reflection groups, reflection geometries (51F15)

Related Items (11)

Even more infinite ball packings from Lorentzian root systems ⋮ Lannér diagrams and combinatorial properties of compact hyperbolic Coxeter polytopes ⋮ Compact hyperbolic Coxeter four-dimensional polytopes with eight facets ⋮ On the growth of cocompact hyperbolic Coxeter groups. ⋮ Hyperbolic orbifolds of minimal volume ⋮ On $d$-dimensional compact hyperbolic Coxeter polytopes with $d+4$ facets ⋮ Essential hyperbolic Coxeter polytopes ⋮ Infinitely many hyperbolic Coxeter groups through dimension 19. ⋮ Anti-de Sitter strictly GHC-regular groups which are not lattices ⋮ Coxeter polytopes with a unique pair of non-intersecting facets ⋮ Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five

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