72 citations · 110 across the 13 of their papers we have counts for
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math.GT2005
Polygonal knot space near ropelength-minimized knots
Kenneth C. Millett, Michael Piatek, Eric J. Rawdon
For a polygonal knot K, it is shown that a tube of radius R(K), the polygonal thickness radius, is an embedded torus. Given a thick configuration K, perturbations of size r<R(K) de…
math.DG2005★ 6 cited
Self-contact Sets for 50 Tightly Knotted and Linked Tubes
Ted Ashton, Jason Cantarella, Michael Piatek +1
We report on new numerical computations of the set of self-contacts in tightly knotted tubes of uniform circular cross-section. Such contact sets have been obtained before for the…