The Least-Perimeter Partition of a Sphere into Four Equal Areas
Differential Geometry
2009-06-19 v2
Abstract
We prove that the least-perimeter partition of the sphere into four regions of equal area is a tetrahedral partition.
Cite
@article{arxiv.0903.4097,
title = {The Least-Perimeter Partition of a Sphere into Four Equal Areas},
author = {Max Engelstein},
journal= {arXiv preprint arXiv:0903.4097},
year = {2009}
}
Comments
7 pages, 1 figure, PDFLaTeX. Minor cosmetic/typo revisions. Accepted to the Journal of Discrete and Computational Geometry