The regular \(p\)-gonal prism tilings and their optimal hyperball packings in the hyperbolic 3-space

DOI10.1007/s10474-006-0034-8zbMath1111.52015OpenAlexW1975569797MaRDI QIDQ858063

Jenő Szirmai

Publication date: 8 January 2007

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-006-0034-8

zbMATH Keywords

tilingshyperbolic geometryoptimal hyperball packing

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (12)

Congruent and non-congruent hyperball packings related to doubly truncated Coxeter orthoschemes in hyperbolic 3-space ⋮ Hyperball packings 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 ⋮ Packings with horo- and hyperballs generated by simple frustum orthoschemes ⋮ Hyperbolic space groups and their supergroups for fundamental simplex tilings ⋮ Optimally dense packings for fully asymptotic Coxeter tilings by horoballs of different types ⋮ Density upper bound for congruent and non-congruent hyperball packings generated by truncated regular simplex tilings ⋮ The least dense hyperball covering of regular prism tilings in hyperbolic \(n\)-space ⋮ Unnamed Item ⋮ Decomposition method related to saturated hyperball packings ⋮ Hyperball packings related to truncated cube and octahedron tilings in hyperbolic space

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