On Thickness and Packing Density for Knots and Links
نویسنده
چکیده
We describe some problems, observations, and conjectures concerning thickness and packing density of knots and links in S and R. We prove the thickness of a nontrivial knot or link in S is no more than π 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 or S is generally less than π √ 12 , the density of the hexagonal packing of unit disks in R.
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تاریخ انتشار 2002