Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 46, No. 2, pp. 545-558 (2005)
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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-spaceJen\H o SzirmaiBudapest University of Technology and Economics, Institute of Mathematics, Department of Geometry,H-1521 Budapest, Hungary ; e-mail: szirmai@math.bme.huAbstract: 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 $\mathbb{H}^3$. Full text of the article:
Electronic version published on: 18 Oct 2005. This page was last modified: 29 Dec 2008.
© 2005 Heldermann Verlag
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