Finite Packings of Spheres

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

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1. U. Betke
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2. M. Henk
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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

Keywords

• Sphere Packing
• Finite Sphere
• Finite Packing