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)

Text
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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 |
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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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