Packing Coxeter honeycombs with sequences of spheres

DOI10.1007/s13366-012-0110-xzbMath1287.52013OpenAlexW2123207385MaRDI QIDQ1943373

Boris Odehnal, Jenő Szirmai

Publication date: 19 March 2013

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

Full work available at URL: https://doi.org/10.1007/s13366-012-0110-x

zbMATH Keywords

spheredensityhyperbolic spacepackinghoneycomb

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Circle packings and discrete conformal geometry (52C26)

Cites Work

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• The optimal ball and horoball packings to the Coxeter honeycombs in the hyperbolic \(d\)-space
• On the volume of hyperbolic polyhedra
• The projective interpretation of the eight 3-dimensional homogeneous geometries
• Highly saturated packings and reduced coverings
• Optimally dense packings for fully asymptotic Coxeter tilings by horoballs of different types
• Horoball packings for the Lambert-cube tilings in the hyperbolic 3-space
• Volumes in hyperbolic 5-space
• The densest geodesic ball packing by a type of Nil lattices
• Sphere packings revisited
• On Schläfli's reduction formula
• Packing of spheres in spaces of constant curvature
• Ball packings in spaces of constant curvature and the simplicial density function
• Über die dichteste Kugelpackung im hyperbolischen Raum
• Regular Honeycombs in Elliptic Space

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