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

Discrete and Computational Geometry (2010) 44(3) 645-653
DOI: 10.1007/s00454-009-9197-8
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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. © 2009 Springer Science+Business Media, LLC.

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Engelstein, M. (2010). The Least-Perimeter Partition of a Sphere into Four Equal Areas. Discrete and Computational Geometry, 44(3), 645–653. https://doi.org/10.1007/s00454-009-9197-8

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