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arXiv · 2203.08666

On the chromatic number of 2-dimensional spheres

Danila Cherkashin·Vsevolod Voronov
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Abstract

In 1976 Simmons conjectured that every coloring of a 2-dimensional sphere of radius strictly greater than $1/2$ in three colors has a couple of monochromatic points at the distance 1 apart. We prove this conjecture.

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Danila Cherkashin, Vsevolod Voronov. 2022-10-01. On the chromatic number of 2-dimensional spheres. https://arxiv.org/abs/2203.08666

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