# Polynomial knots

I like this question. What kind of stuff can you prove? The metric that you are ussing is the $l_\infty$ metric. Note that the tube around a knot might intersect another knot that is close to it in more than one point and so it's not so easy to reparametrize as you claimed right? –  Alfredo Hubard Nov 4 '11 at 23:56