Compact packings of the plane with two sizes of discs
Metric Geometry
2008-03-03 v2
Abstract
We consider packings of the plane using discs of radius 1 and r. A packing is compact if every disc D is tangent to a sequence of discs D_1, D_2, ..., D_n such that D_i is tangent to D_{i+1}. We prove that there are only nine values of r with r<1 for which such packings are possible. For each of the nine values we describe the possible compact packings.
Cite
@article{arxiv.math/0407145,
title = {Compact packings of the plane with two sizes of discs},
author = {Tom Kennedy},
journal= {arXiv preprint arXiv:math/0407145},
year = {2008}
}
Comments
Latex, 20 pages, 15 postscript figures Only change in second version is to fix some problems with figure borders