Compact packings of the plane with two sizes of discs
| dc.creator | Kennedy, Tom | |
| dc.date | 2004-07-08 | |
| dc.date | 2004-07-08 | |
| dc.date.accessioned | 2026-07-07T09:24:07Z | |
| dc.date.available | 2026-07-07T09:24:07Z | |
| dc.description | 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. | |
| dc.description | Latex, 20 pages, 15 postscript figures Only change in second version is to fix some problems with figure borders | |
| dc.identifier | https://arxiv.org/abs/math/0407145 | |
| dc.identifier | http://arxiv.org/abs/math/0407145 | |
| dc.identifier | Discrete and Computational Geometry 35 (2006), 255-267 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155979 | |
| dc.subject | Metric Geometry | |
| dc.subject | 52C15 | |
| dc.title | Compact packings of the plane with two sizes of discs | |
| dc.type | text |