volume 28, issue 1, P115-119 2002
DOI: 10.1007/s00454-001-0094-z
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Abstract: In the Euclidean plane let T be a convex set, and let K 1 , . . . , K n be a family of n ≥ 2 circles packed into T . We show that the density of each such packing is smaller than π/ √ 12, the density of the densest packing of equal circles in the plane, provided the radii of the circles are not too different. This extends a result of G. Fejes Tóth, where T was a polygon with at most six sides.

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