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arXiv · 1711.00211

Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes

Károly Böröczky·Károly J. Böröczky·Alexey Glazyrin·Ágnes Kovács
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Abstract

It is well known that the vertices of any Euclidean simplicial regular polytope determine an optimal packing of equal spherical balls. We prove a stability version of optimal order of this result.

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Károly Böröczky, Károly J. Böröczky, Alexey Glazyrin, Ágnes Kovács. 2017-11-01. Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes. https://arxiv.org/abs/1711.00211

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