Optimally dense packings of hyperbolic space

DOI10.1023/B:GEOM.0000022857.62695.15zbMath1069.52019arXivmath/0211417OpenAlexW2161530376MaRDI QIDQ1826902

Charles Radin, Lewis Phylip Bowen

Publication date: 6 August 2004

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211417

zbMATH Keywords

packingsdensityhyperbolic space

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Circle packings and discrete conformal geometry (52C26)

Related Items (6)

Horoball packings to the totally asymptotic regular simplex in the hyperbolic \(n\)-space ⋮ New horoball packing density lower bound in hyperbolic 5-space ⋮ Sphere packing bounds via spherical codes ⋮ Optimal ball and horoball packings generated by 3-dimensional simply truncated Coxeter orthoschemes with parallel faces ⋮ Optimally dense packings for fully asymptotic Coxeter tilings by horoballs of different types ⋮ Horoball packings related to the 4-dimensional hyperbolic 24 cell honeycomb {3,4,3,4}

Uses Software

• NERO

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