Some Densest Two-Size Disc Packings in the Plane

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Abstract

The main purpose of this paper is to prove some long-standing conjectures concerning the packing density of some compact arrangements of discs of two different radii in the Euclidean plane. To reach this goal a new method, called cell balancing, is presented.

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Heppes, A. (2003). Some Densest Two-Size Disc Packings in the Plane. In Discrete and Computational Geometry (Vol. 30, pp. 241–262). Springer New York. https://doi.org/10.1007/s00454-003-0007-6

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