Hyperball packings related to truncated cube and octahedron tilings in hyperbolic space

DOI10.11575/cdm.v15i2.68165zbMath1452.52014arXiv1803.04948OpenAlexW3137542213MaRDI QIDQ3303529

Jenő Szirmai

Publication date: 12 August 2020

Full work available at URL: https://arxiv.org/abs/1803.04948

zbMATH Keywords

hyperbolic geometrypacking densityCoxeter tilingshyperball 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) Symmetry properties of polytopes (52B15)

Related Items (3)

Congruent and non-congruent hyperball packings related to doubly truncated Coxeter orthoschemes in hyperbolic 3-space ⋮ Optimal ball and horoball packings generated by 3-dimensional simply truncated Coxeter orthoschemes with parallel faces ⋮ An upper bound of the density for packing of congruent hyperballs in hyperbolic \(3\)-space

Cites Work

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• On the hyperbolic Pascal pyramid
• The regular \(p\)-gonal prism tilings and their optimal hyperball packings in the hyperbolic 3-space
• On the volume of hyperbolic polyhedra
• Highly saturated packings and reduced coverings
• Optimally dense packings for fully asymptotic Coxeter tilings by horoballs of different types
• Sphere packings revisited
• Packing of spheres in spaces of constant curvature
• Top dense hyperbolic ball packings and coverings for complete coxeter orthoscheme groups
• Hyperbolic space groups with truncated simplices as fundamental domains
• Über die dichteste Kugelpackung im hyperbolischen Raum

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