| Tartalom: |
http://real.mtak.hu/44226/ |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
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| Cím: |
ε-quasi-twelve-neighbour packings of unit balls in E3
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| Létrehozó: |
Böröczky, Károly
Szabó, László
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| Kiadó: |
Springer : Akadémiai Kiadó
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| Dátum: |
2016
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| Téma: |
QA Mathematics / matematika
QA73 Geometry / geometria
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| Tartalmi leírás: |
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
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| Nyelv: |
angol
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| Típus: |
Article
PeerReviewed
info:eu-repo/semantics/article
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| Formátum: |
text
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| Azonosító: |
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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| Kapcsolat: |
MTMT:3043070; doi:10.1007/s10474-016-0583-4
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