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Mathematical Notes

, Volume 67, Issue 4, pp 417–424 | Cite as

A minimal design of order 11 on the 3-sphere

  • N. N. Andreev
Article

Abstract

We prove that the 120 vertices of the regular four-dimensional polyhedron with the Schläfli symbol {3, 3, 5} form a minimal spheric design of order 11 onS 3. It is shown that the system of equal charges at these vertices provides the minimal potential energy among all systems of 120 equal charges onS 3.

Key words

minimal designs configuration of charges extremal problems 

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Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • N. N. Andreev
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityUSSR

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