Abstract
We prove that the least-perimeter partition of the sphere into four regions of equal area is a tetrahedral partition.
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Engelstein, M. The Least-Perimeter Partition of a Sphere into Four Equal Areas. Discrete Comput Geom 44, 645–653 (2010). https://doi.org/10.1007/s00454-009-9197-8
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DOI: https://doi.org/10.1007/s00454-009-9197-8