Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 48, No. 1, pp. 3547 (2007) 

The optimal ball and horoball packings to the Coxeter honeycombs in the hyperbolic \boldmath$d$spaceJen\H o SzirmaiBudapest University of Technology and Economics, Institute of Mathematics, Department of Geometry, H1521 Budapest, Hungary, email: szirmai@math.bme.huAbstract: In a former paper [Sz] a method is described that determines the data and the density of the optimal ball or horoball packing to each Coxeter tiling in the hyperbolic $3$space. In this work we extend this procedurebased on the projective interpretation of the hyperbolic geometryto higher dimensional Coxeter honeycombs in $\mathbb{H}^d, \ (d=4,5)$, and determine the metric data of their optimal ball and horoball packings, respectively. [Sz] Szirmai, J.: The optimal ball and horoball packings of the Coxeter tilings in the hyperbolic $3$space. Beitr. Algebra Geom. {\bf 46}(2) (2005), 545558. Full text of the article:
Electronic version published on: 14 May 2007. This page was last modified: 27 Jan 2010.
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