The Least-Perimeter Partition of a Sphere into Four Equal Areas

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Abstract

We prove that the least-perimeter partition of the sphere into four regions of equal area is a tetrahedral partition.

Original languageEnglish (US)
Pages (from-to)645-653
Number of pages9
JournalDiscrete and Computational Geometry
Volume44
Issue number3
DOIs
StatePublished - 2010
Externally publishedYes

Keywords

  • Isoperimetric problem
  • Minimal partitions
  • Tetrahedral partition

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