Multi-Level Regular Coverings of the Plane by Disks

Verfasser / Beitragende:
[I. Takhonov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 211/6(2015-12-01), 886-901
Format:
Artikel (online)
ID: 605523142
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100 1 |a Takhonov  |D I.  |u Novosibirsk State University, 2, ul. Pirogova, 630090, Novosibirsk, Russia  |4 aut 
245 1 0 |a Multi-Level Regular Coverings of the Plane by Disks  |h [Elektronische Daten]  |c [I. Takhonov] 
520 3 |a We study the problem of finding the least dense regular covering of a plane by disks of different radii. We introduce k-level regular coverings that generalize some known models. We obtain a bound for the density of multi-level coverings and construct a three-level covering of density ≈ 1.083. Bibliography: 14 titles. Illustrations: 11 figures. 
540 |a Springer Science+Business Media New York, 2015 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 211/6(2015-12-01), 886-901  |x 1072-3374  |q 211:6<886  |1 2015  |2 211  |o 10958 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Takhonov  |D I.  |u Novosibirsk State University, 2, ul. Pirogova, 630090, Novosibirsk, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 211/6(2015-12-01), 886-901  |x 1072-3374  |q 211:6<886  |1 2015  |2 211  |o 10958