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Kissing numbers-bounds and constructions
by
Stefan Dodunekov
Bulgarian Academy of Science
The evaluation of the n-th kissing number (the max number of non-intersecting equal spheres in the n-dimensional Euclidean space that touch one sphere of the same radius) is considered to be one of the most interesting mathematical problems. It has several centuries of fascinating history and connections with many branches of mathematics as well as with communication theory. The exact values of kissing numbers are known only for n=1, 2, 3, 8 and 24.
Date received: July 9, 2001
Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahn-11.