The Least-Perimeter Partition of a Sphere into Four Equal Areas
نویسنده
چکیده
We prove that the least-perimeter partition of the sphere into four regions of equal area is a tetrahedral partition.
منابع مشابه
Least - Perimeter Partitions of the Sphere
We consider generalizations of the honeycomb problem to the sphere S and seek the perimeter-minimizing partition into n regions of equal area. We provide a new proof of Masters’ result that three great semicircles meeting at the poles at 120 degrees minimize perimeter among partitions into three equal areas. We also treat the case of four equal areas, and we prove under various hypotheses that ...
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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 44 شماره
صفحات -
تاریخ انتشار 2010