Discrete & Computational Geometry

, Volume 29, Issue 1, pp 23-39

Densest Packing of Equal Spheres in Hyperbolic Space

  •  BowenAffiliated withMathematics Department, University of Texas at Austin, Austin, TX 78712-1082, USA lbowen@math.utexas.edu, radin@math.utexas.edu
  • ,  RadinAffiliated withMathematics Department, University of Texas at Austin, Austin, TX 78712-1082, USA lbowen@math.utexas.edu, radin@math.utexas.edu

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Abstract. We propose a method to analyze the density of packings of spheres of fixed radius in the hyperbolic space of any dimension m≥ 2 , and prove that for all but countably many radii, optimally dense packings must have low symmetry.