The optimal ball and horoball packings of the Coxeter tilings in the hyperbolic 3-space

zbMath1094.52012MaRDI QIDQ2568866

Jenő Szirmai

Publication date: 20 October 2005

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228130

zbMATH Keywords

hyperbolic spaceCoxeter tilingshoroball packings

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (8)

Horoball packings to the totally asymptotic regular simplex in the hyperbolic \(n\)-space ⋮ New horoball packing density lower bound in hyperbolic 5-space ⋮ New lower bounds for optimal horoball packing density in hyperbolic \(n\)-space for \(6\le n\le 9\) ⋮ Optimally dense packings for fully asymptotic Coxeter tilings by horoballs of different types ⋮ New lower bound for the optimal ball packing density in hyperbolic 4-space ⋮ Geodesic ball packings in \(S^{2} \times R\) space for generalized Coxeter space groups ⋮ Horoball packings related to the 4-dimensional hyperbolic 24 cell honeycomb {3,4,3,4} ⋮ Distance geometry for kissing spheres

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