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About four-ball packings

Part of: Discrete geometry

Published online by Cambridge University Press:  26 February 2010

Károly Böröczky Jr
Károly Böröczky Jr
Affiliation:
MTA Matematikai Kutató Intézet, Budapest Pf. 127, 1364 Hungary.
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Abstract

The main object of this note is to prove that in three-space the sausage arrangement is the densest packing of four unit balls. Our method can be used to determine minimal arrangements with respect to various properties of four-ball packings, as we point out in Section 3.

MSC classification

Secondary: 52C17: Packing and covering in $n$ dimensions
Type
Research Article
Information
Mathematika , Volume 40 , Issue 2 , December 1993 , pp. 226 - 232
Copyright
Copyright © University College London 1993

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