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Osculatory Packing of Finite Areas with Circles

Abstract

Osculatory packing of a finite area by circles requires that any uncovered area or interstice be filled always with the largest possible non-overlapping circle. The strength of this requirement makes it possible to derive a general analytic expression that approximates closely to the distributions of radii calculated for various sets of boundary conditions.

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KAUSCH-BLECKEN, H., SCHMELING, V. & TSCHOEGL, N. Osculatory Packing of Finite Areas with Circles. Nature 225, 1119–1122 (1970). https://doi.org/10.1038/2251119a0

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