Packings with horo- and hyperballs generated by simple frustum orthoschemes

DOI10.1007/s10474-017-0728-0zbMath1399.52039arXiv1505.03338OpenAlexW2963937681MaRDI QIDQ1743159

Jenő Szirmai

Publication date: 12 April 2018

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

Full work available at URL: https://arxiv.org/abs/1505.03338

zbMATH Keywords

hyperbolic geometrypacking densityCoxeter tilinghoroball and hyperball packing

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 (6)

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 ⋮ Density upper bound for congruent and non-congruent hyperball packings generated by truncated regular simplex tilings ⋮ Unnamed Item ⋮ Decomposition method related to saturated hyperball packings

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