The Honeycomb Problem on the Sphere

Details The Honeycomb Problem on the Sphere The Honeycomb Problem on the Sphere

2002-11-15

arxiv.org/abs/math/0211234v1

Mathematics

Metric Geometry

Scientific paper

The honeycomb problem on the sphere asks for the perimeter-minimizing
partition of the sphere into N equal areas. This article solves the problem
when N=12. The unique minimizer is a tiling of 12 regular pentagons in the
dodecahedral arrangement.

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