On $d$-dimensional compact hyperbolic Coxeter polytopes with $d+4$ facets

DOI10.1090/S0077-1554-08-00172-6zbMath1208.52012arXivmath/0510238MaRDI QIDQ3580876

Pavel Tumarkin, A. A. Felikson

Publication date: 13 August 2010

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510238

zbMATH Keywords

hyperbolic geometryCoxeter diagramcompact Coxeter polytope

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Polyhedra and polytopes; regular figures, division of spaces (51M20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Reflection groups, reflection geometries (51F15)

Related Items (3)

Even more infinite ball packings from Lorentzian root systems ⋮ Essential hyperbolic Coxeter polytopes ⋮ Coxeter polytopes with a unique pair of non-intersecting facets

Cites Work

• Compact hyperbolic Coxeter \(n\)-polytopes with \(n+3\) facets
• Groups of automorphisms of unimodular hyperbolic quadratic forms over the ring \({\mathbb{Z}}[(\sqrt{5}+1)/2\)]
• The classification of compact hyperbolic Coxeter \(d\)-polytopes with \(d+2\) facets
• On hyperbolic Coxeter polytopes with mutually intersecting facets
• Reflection subgroups of reflection groups.
• Infinitely many hyperbolic Coxeter groups through dimension 19.
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