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

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

2009-03-24

arxiv.org/abs/0903.4097v2

Mathematics

Differential Geometry

7 pages, 1 figure, PDFLaTeX. Minor cosmetic/typo revisions. Accepted to the Journal of Discrete and Computational Geometry

Scientific paper

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

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