Ball packings in spaces of constant curvature and the simplicial density function

DOI10.1515/crll.1998.006zbMath0884.52017OpenAlexW2048220644MaRDI QIDQ4369474

Ruth Kellerhals

Publication date: 1 April 1998

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.1998.006

zbMATH Keywords

local density

Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Length, area and volume in real or complex geometry (51M25) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (14)

Packable hyperbolic surfaces with symmetries ⋮ Horoball packings to the totally asymptotic regular simplex in the hyperbolic \(n\)-space ⋮ New horoball packing density lower bound in hyperbolic 5-space ⋮ New lower bounds for optimal horoball packing density in hyperbolic \(n\)-space for \(6\le n\le 9\) ⋮ Packing Coxeter honeycombs with sequences of spheres ⋮ An upper bound of the density for packing of congruent hyperballs in hyperbolic \(3\)-space ⋮ Horoball packings and their densities by generalized simplicial density function in the hyperbolic space ⋮ Optimally dense packings for fully asymptotic Coxeter tilings by horoballs of different types ⋮ New lower bound for the optimal ball packing density in hyperbolic 4-space ⋮ 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 ⋮ Systole and inradius of noncompact hyperbolic manifolds ⋮ Decomposition method related to saturated hyperball packings ⋮ Horoball packings related to the 4-dimensional hyperbolic 24 cell honeycomb {3,4,3,4}

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