Density upper bound for congruent and non-congruent hyperball packings generated by truncated regular simplex tilings

DOI10.1007/s12215-017-0316-8zbMath1402.52019arXiv1510.03208OpenAlexW2964193763WikidataQ114221104 ScholiaQ114221104MaRDI QIDQ1783576

Jenő Szirmai

Publication date: 21 September 2018

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03208

zbMATH Keywords

hyperbolic geometrypacking densityball packingsCoxeter 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 (5)

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 ⋮ Unnamed Item ⋮ Decomposition method related to saturated hyperball packings

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