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ε-quasi-twelve-neighbour packings of unit balls in E3

Böröczky, Károly and Szabó, László (2016) ε-quasi-twelve-neighbour packings of unit balls in E3. Acta Mathematica Hungarica, 148 (2). pp. 509-521. ISSN 0236-5294 (print), 1588-2632 (online)

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Abstract

Let (Formula presented.) be a (small) positive number. A packing of unit balls in (Formula presented.) is said to be an (Formula presented.)-quasi-twelve-neighbour packing if no two balls of the packing touch each other but for each unit ball B of the packing there are twelve other balls in the packing with the property that the distance of the centre of each of these twelve balls from the centre of B is smaller than (Formula presented.). We construct (Formula presented.)-quasi-twelve-neighbour packings of unit balls in (Formula presented.) for arbitrary small positive (Formula presented.) with some surprising properties. © 2016 Akadémiai Kiadó, Budapest, Hungary

Item Type: Article
Uncontrolled Keywords: 52C17
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 03 Jan 2017 07:30
Last Modified: 03 Jan 2017 07:30
URI: http://real.mtak.hu/id/eprint/44226

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