2004/12/21 by Tom Kennedy, Kennedy, Tom · 1 citation
Mathematics · #52C15 #FOS: Mathematics #Metric Geometry (math.MG) #math.MG #msc:52C15
paper · pdf · doi:10.48550/arxiv.math/0412418
Latex, 21 pages, 2 postscript figures
arxiv created 2004/12/21 · arxiv updated 2009/12/01
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.