The classification of compact hyperbolic Coxeter \(d\)-polytopes with \(d+2\) facets

DOI10.1007/BF02566418zbMath0856.51016OpenAlexW1990802005MaRDI QIDQ1921346

Frank Esselmann

Publication date: 24 February 1997

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140398

zbMATH Keywords

Coxeter diagramGale diagramscompact hyperbolic Coxeter polytopesLannér diagram

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Polyhedra and polytopes; regular figures, division of spaces (51M20)

Related Items (17)

On commensurable hyperbolic Coxeter groups ⋮ On hyperbolic Coxeter n-polytopes with n + 2 facets ⋮ Even more infinite ball packings from Lorentzian root systems ⋮ CoxIter – Computing invariants of hyperbolic Coxeter groups ⋮ 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. ⋮ On hyperbolic Coxeter polytopes with mutually intersecting facets ⋮ The growth function of Coxeter garlands in \(\mathbb H^4\). ⋮ On $d$-dimensional compact hyperbolic Coxeter polytopes with $d+4$ facets ⋮ Essential hyperbolic Coxeter polytopes ⋮ Infinitely many hyperbolic Coxeter groups through dimension 19. ⋮ Projective deformations of weakly orderable hyperbolic Coxeter orbifolds ⋮ Anti-de Sitter strictly GHC-regular groups which are not lattices ⋮ Hyperbolic Coxeter $n$-polytopes with $n+3$ facets ⋮ 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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