On Thickness and Packing Density for Knots and Links
| dc.creator | Kusner, Rob | |
| dc.date | 2002-03-28 | |
| dc.date.accessioned | 2026-07-07T04:47:19Z | |
| dc.date.available | 2026-07-07T04:47:19Z | |
| dc.description | We describe some problems, observations, and conjectures concerning thickness and packing density of knots and links in $\sp^3$ and $\R^3$. We prove the thickness of a nontrivial knot or link in $\sp^3$ is no more than $\fracπ{4}$, the thickness of a Hopf link. We also give arguments and evidence supporting the conjecture that the packing density of thick links in $\R^3$ or $\sp^3$ is generally less than $\fracπ{\sqrt{12}}$, the density of the hexagonal packing of unit disks in $\R^2$. | |
| dc.description | 6 pages; to appear in Contemporary Mathematics volume edited by Calvo, Millett & Rawdon | |
| dc.identifier | https://arxiv.org/abs/math/0203285 | |
| dc.identifier | http://arxiv.org/abs/math/0203285 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63670 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 53A04, 49Q10, 52C15, 52C17 | |
| dc.title | On Thickness and Packing Density for Knots and Links | |
| dc.type | text |