A Finite Packing Problem
Canadian mathematical bulletin, Tome 4 (1961) no. 2, pp. 153-155
Voir la notice de l'article provenant de la source Cambridge University Press
The maximum density of packings of a given type into the whole of a Euclidean space is defined to be the limit of the maximum density of such packings into a cube as the edge of the cube goes to infinity.For E2 in particular, a number of well known results such as those due to A. Thue [1], L. Fejes-Toth [2], and C. A. Rogers [3] yield precise information about packings into the whole space. They are however of limited applicability to problems of finite packing in so-far as each requires some restriction upon the boundary of the configuration.
Oler, Norman. A Finite Packing Problem. Canadian mathematical bulletin, Tome 4 (1961) no. 2, pp. 153-155. doi: 10.4153/CMB-1961-018-7
@article{10_4153_CMB_1961_018_7,
author = {Oler, Norman},
title = {A {Finite} {Packing} {Problem}},
journal = {Canadian mathematical bulletin},
pages = {153--155},
year = {1961},
volume = {4},
number = {2},
doi = {10.4153/CMB-1961-018-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1961-018-7/}
}
[1] 1. Thue, A., Uber die dichteste Zusammenstellung von kongruenten Kreisen in einer Ebene, Christiania Vid. Selsk. 1 (1910), 3-9. Google Scholar
[2] 2. Fejes-Toth, L., Some packing and covering theorems, Acta Sci. Math. Szeged 12 (1950), 62-67. Google Scholar
[3] 3. Rogers, C. A., The closest packing of convex two dimensional domains, Acta Math. 86 (1951), 309-321.10.1007/BF02392671 Google Scholar
[4] 4. Oler, N., An inequality in the geometry of numbers, Acta Math., Google Scholar
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