A densest compact planar packing with two sizes of discs

Details A densest compact planar packing with two sizes of discs A densest compact planar packing with two sizes of discs

2004-12-21

arxiv.org/abs/math/0412418v1

Mathematics

Metric Geometry

Latex, 21 pages, 2 postscript figures

Scientific paper

We consider packings of the plane using discs of radius 1 and r=0.545151... .
The value of r admits compact packings in which each hole in the packing is
formed by three discs which are tangent to each other. We prove that the
largest density possible is that of the compact packing shown in figure 1.

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