The strong thirteen spheres problem
type: Item
instance of: scholarly article
title: The strong thirteen spheres problem
zbMATH Open document ID: 1269.52015
author: Oleg R. Musin
author: Alexey S. Tarasov
published in: Discrete \& Computational Geometry
publication date: 2012-08-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1002.1439
review text: The authors present a computer-assisted proof of the long-standing open Tammes problem for 13 points, asking, in general, for the distribution of \(N\) points on the sphere such that the minimal angular distance among them is maximized. The optimal arrangement, which is also proved to be unique up to isometry, can already be found in [\textit{L. Fejes Tóth}, Lagerungen in der Ebene, auf der Kugel und im Raum. Berlin-Göttingen-Heidelberg: Springer-Verlag (1953; Zbl 0052.18401)]. Due to its close relation to the famous and classical 3-dimensional kissing number problem, the Tammes problem for 13 spheres is also called the ``strong thirteen spheres problem''.
reviewed by: Martin Henk
Mathematics Subject Classification ID: 52C17
Mathematics Subject Classification ID: 05C62
zbMATH DE Number: 6065213
zbMATH Keywords: Tammes problem
zbMATH Keywords: kissing number
zbMATH Keywords: thirteen spheres
describes a project that uses: plantri
MaRDI profile type: Publication
OpenAlex ID: W2094247393
arXiv ID: 1002.1439
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DOI: 10.1007/S00454-011-9392-2
description: scientific article; zbMATH DE number 6065213