The optimal hyperball packings related to the smallest compact arithmetic 5-orbifolds

zbMath1461.52019arXiv1306.4221MaRDI QIDQ5279946

Jenő Szirmai

Publication date: 19 July 2017

Full work available at URL: https://arxiv.org/abs/1306.4221

zbMATH Keywords

densityhyperbolic geometryprism tilingscompact arithmetic orbifoldshypersphere 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 (9)

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 ⋮ 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

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