Discrete & Computational Geometry

, Volume 30, Issue 2, pp 241-262

First online:

Some Densest Two-Size Disc Packings in the Plane

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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.