Dense ellipsoid packings

  • Authors:
  • Achill Schürmann

  • Affiliations:
  • Fachbereich Mathematik, Universität Siegan, Walter-Flex-Strasse 3, 57068 Siegan, Germany

  • Venue:
  • Discrete Mathematics
  • Year:
  • 2002

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Abstract

The densest lattice packings of ellipsoids in Euclidian d-space Ed are known for d ≤ 8. We construct dense non-lattice packings for 4 ≤ d ≤ 8 that exceed the densities of the densest lattice packings by surprisingly large factors, in particular in E8 by more than 42.9%.