The Densest Packing of 9 Circles in a Square
Canadian mathematical bulletin, Tome 8 (1965) no. 3, pp. 273-277
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Packing problems of this kind are obviously equivalent to the problems of placing k (here 9) points in a unit square such that the minimum distance between any two of them be as large as possible. The solutions of these problems are known for 2 ≤ k ≤ 9. The largest possible minimum distances mk are given in table 1, and the corresponding "best" configurations shown in figure 1.
Schaer, J. The Densest Packing of 9 Circles in a Square. Canadian mathematical bulletin, Tome 8 (1965) no. 3, pp. 273-277. doi: 10.4153/CMB-1965-018-9
@article{10_4153_CMB_1965_018_9,
author = {Schaer, J.},
title = {The {Densest} {Packing} of 9 {Circles} in a {Square}},
journal = {Canadian mathematical bulletin},
pages = {273--277},
year = {1965},
volume = {8},
number = {3},
doi = {10.4153/CMB-1965-018-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-018-9/}
}
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