The Honeycomb Problem on the Sphere

Thomas C. Hales

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The Honeycomb Problem on the Sphere

Thomas C. Hales

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Abstract

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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BibTeX RIS

Thomas C. Hales. 2002-11-15. The Honeycomb Problem on the Sphere. https://arxiv.org/abs/math/0211234

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