A survey on the kissing numbers

The maximum possible number of non-overlapping unit spheres that can touch a unit sphere in \(n\) dimensions is called kissing number. The problem for finding kissing numbers is closely connected to the more general problems of finding bounds for spherical codes and sphere packings. We survey old an...

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Bibliographic Details
Published in:arXiv.org 2015-07
Main Authors: Boyvalenkov, Peter, Dodunekov, Stefan, Musin, Oleg R
Format: Article
Language:English
Online Access:Get full text
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Summary:The maximum possible number of non-overlapping unit spheres that can touch a unit sphere in \(n\) dimensions is called kissing number. The problem for finding kissing numbers is closely connected to the more general problems of finding bounds for spherical codes and sphere packings. We survey old and recent results on the kissing numbers keeping the generality of spherical codes.
ISSN:2331-8422