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Nurmela, Kari J.; Östergård, Patric R. J.; Spring, Rainer aus dem. Asymptotic Behavior of Optimal Circle Packings in a Square. Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 380-385. doi: 10.4153/CMB-1999-044-4
@article{10_4153_CMB_1999_044_4,
author = {Nurmela, Kari J. and \"Osterg\r{a}rd, Patric R. J. and Spring, Rainer aus dem},
title = {Asymptotic {Behavior} of {Optimal} {Circle} {Packings} in a {Square}},
journal = {Canadian mathematical bulletin},
pages = {380--385},
year = {1999},
volume = {42},
number = {3},
doi = {10.4153/CMB-1999-044-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-044-4/}
}
TY - JOUR AU - Nurmela, Kari J. AU - Östergård, Patric R. J. AU - Spring, Rainer aus dem TI - Asymptotic Behavior of Optimal Circle Packings in a Square JO - Canadian mathematical bulletin PY - 1999 SP - 380 EP - 385 VL - 42 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-044-4/ DO - 10.4153/CMB-1999-044-4 ID - 10_4153_CMB_1999_044_4 ER -
%0 Journal Article %A Nurmela, Kari J. %A Östergård, Patric R. J. %A Spring, Rainer aus dem %T Asymptotic Behavior of Optimal Circle Packings in a Square %J Canadian mathematical bulletin %D 1999 %P 380-385 %V 42 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-044-4/ %R 10.4153/CMB-1999-044-4 %F 10_4153_CMB_1999_044_4
[1] [1] Croft, H. T., Falconer, K. J. and Guy, R. K., Unsolved Problems in Geometry. Springer-Verlag, New York, 1991. Google Scholar
[2] [2] Folkman, J. H. and Graham, R. L., A packing inequality for compact convex subsets of the plane. Canad.Math. Bull. 12 (1969), 745–752. Google Scholar
[3] [3] Graham, R. L. and Lubachevsky, B. D., Repeated patterns of dense packings of equal disks in a square. Electron. J. Combin. 3(1996), R16, 17 pp. (electronic). Google Scholar
[4] [4] Kershner, R., The number of circles covering a set. Amer. J. Math. 61 (1939), 665–671. Google Scholar
[5] [5] Niven, I., Zuckerman, H. S. and Montgomery, H. L., An Introduction to the Theory of Numbers. 5th ed., Wiley, New York, 1991. Google Scholar
[6] [6] Nurmela, K. J. and ¨Osterg°ard, P. R. J., Packing up to 50 equal circles in a square. Discrete Comput. Geom. 18 (1997), 111–120. Google Scholar
[7] [7] Oler, N., An inequality in the geometry of numbers. ActaMath. 105 (1961), 19–48. Google Scholar
[8] [8] Verblunsky, S., On the least number of unit circles which can cover a square. J. London Math. Soc. 24 (1949), 164–170. Google Scholar
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