A densest compact planar packing with two sizes of discs
Metric Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0412418,
title = {A densest compact planar packing with two sizes of discs},
author = {Tom Kennedy},
journal= {arXiv preprint arXiv:math/0412418},
year = {2007}
}
Comments
Latex, 21 pages, 2 postscript figures