A densest compact planar packing with two sizes of discs

Simple item page
dc.creatorKennedy, Tom
dc.date2004-12-21
dc.date.accessioned2026-07-07T05:15:31Z
dc.date.available2026-07-07T05:15:31Z
dc.descriptionWe 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.
dc.descriptionLatex, 21 pages, 2 postscript figures
dc.identifierhttps://arxiv.org/abs/math/0412418
dc.identifierhttp://arxiv.org/abs/math/0412418
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73657
dc.subjectMetric Geometry
dc.subject52C15
dc.titleA densest compact planar packing with two sizes of discs
dc.typetext

Files

Collections

arXiv