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The Densest Packing of 9 Circles in a Square

Published online by Cambridge University Press:  20 November 2018

J. Schaer*
Affiliation:
University of Alberta, Calgary
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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.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1965

References

1. Schaer, J. and Meir, A., On a geometric extremum problem, Can. Math. Bull. 8 (1965), 21-27.CrossRefGoogle Scholar