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arxiv: 1209.6043 · v1 · pith:CPIBOEU7new · submitted 2012-09-26 · 🧮 math.MG

A Proof of Fejes Toth's Conjecture on Sphere Packings with Kissing Number Twelve

classification 🧮 math.MG
keywords conjecturefejestothtwelvearticleballballsconjectured
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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.

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