Isn’t the set of loops limited to slopes m/n; m,n ∈ (0,∞) with at least one of m,n = 1 ? For example, I don’t think that the trefoil (3/2) could be carried by that track.

]]>“Geometric Topology”, Bilbao, June 30 – July 2, 2014, special session organized by Carlo Petronio and Joan Porti

within the First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI.

http://www.dm.unipi.it/pages/petronio/public_html/GeomTopBilbao2014.html ]]>