2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73657We 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.Latex, 21 pages, 2 postscript figuresMetric Geometry52C15A densest compact planar packing with two sizes of discstext