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Finite Packings of Spheres
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  • Published: February 1998

Finite Packings of Spheres

  • U. Betke1 &
  • M. Henk2 

Discrete & Computational Geometry volume 19, pages 197–227 (1998)Cite this article

  • 271 Accesses

  • 12 Citations

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Abstract.

We show that the sausage conjecture of László Fejes Tóth on finite sphere packings is true in dimension 42 and above.

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Authors and Affiliations

  1. Fachbereich 6, Universität Siegen, Hölderlinstrasse 3, D-57068 Siegen, Germany betke@mathematik.uni-siegen.de, , , , , , DE

    U. Betke

  2. Konrad-Zuse-Zentrum (ZIB) Berlin, Combinatorial Optimization, Takustr. 7, D-14195 Berlin, Germany henk@zib.de, , , , , , DE

    M. Henk

Authors
  1. U. Betke
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  2. M. Henk
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Additional information

Received October 19, 1995, and in revised form May 28, 1996.

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Betke, U., Henk, M. Finite Packings of Spheres . Discrete Comput Geom 19, 197–227 (1998). https://doi.org/10.1007/PL00009341

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  • Issue Date: February 1998

  • DOI: https://doi.org/10.1007/PL00009341

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Keywords

  • Sphere Packing
  • Finite Sphere
  • Finite Packing
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