Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 46, No. 2, pp. 545-558 (2005)

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The optimal ball and horoball packings of the Coxeter tilings in the hyperbolic 3-space

Jen\H o Szirmai

Budapest University of Technology and Economics, Institute of Mathematics, Department of Geometry,H-1521 Budapest, Hungary ; e-mail:

Abstract: In this paper I describe a method -- based on the projective interpretation of the hyperbolic geometry -- that determines the data and the density of the optimal ball and horoball packings of each well-known Coxeter tiling (Coxeter honeycomb) in the hyperbolic space $\mathbb{H}^3$.

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Electronic version published on: 18 Oct 2005. This page was last modified: 29 Dec 2008.

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