Geodesic
The kissing number in four dimensions
Oleg R. Musin1
1 Department of Mathematics<br/>University of Texas<br/>Brownsville, Texas 78520<br/>United States
Annals of mathematics, Tome 168 (2008) no. 1, pp. 1-32.

Voir la notice de l'article provenant de la source Annals of Mathematics website

The kissing number problem asks for the maximal number $k(n)$ of equal size nonoverlapping spheres in $n$-dimensional space that can touch another sphere of the same size. This problem in dimension three was the subject of a famous discussion between Isaac Newton and David Gregory in 1694. In three dimensions the problem was finally solved only in 1953 by Schütte and van der Waerden.
DOI : 10.4007/annals.2008.168.1

Oleg R. Musin 1

1 Department of Mathematics<br/>University of Texas<br/>Brownsville, Texas 78520<br/>United States 
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Oleg R. Musin. The kissing number in four dimensions. Annals of mathematics, Tome 168 (2008) no. 1, pp. 1-32. doi : 10.4007/annals.2008.168.1. http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.168.1/

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