A Proof of Fejes Toths Conjecture on Sphere Packings with Kissing Number Twelve
published by Thomas Hales
in 2012
and research's language is
English
Download
Abstract in English
In 1969, Fejes Toth conjectured that in Euclidean 3-space any packing of equal balls such that each ball is touched by twelve others consists of hexagonal layers. This article verifies this conjecture.