Title
Ropelength of tight polygonal knots
Department/School
Mathematics
Date
1-1-2005
Document Type
Book Chapter
Keywords
ropelength, tight polygonal knots
Abstract
A physical interpretation of the rope simulated by the SONO algorithm is presented. Properties of the tight polygonal knots delivered by the algorithm are analyzed. An algorithm for bounding the ropelength of a smooth inscribed knot is shown. Two ways of calculating the ropelength of tight polygonal knots are compared. An analytical calculation performed for a model knot shows that an appropriately weighted average should provide a good estimation of the minimum ropelength for relatively small numbers of edges. Comment: 27 pages, to appear in "Physical and Numerical Models in Knot Theory and their Application to the Life Sciences"
Published in
Physical and Numerical Models in Knot Theory
Citation/Other Information
Baranski, J., Pierasnki, P. & Rawdon, E.J. (2005). Ropelength of tight polygonal knots. In Calvo, J. A., Millett, K. C., Rawdon, E. J., & Stasiak, A. (2005). Physical and numerical models in knot theory: including applications to the life sciences (Vol. 36). World Scientific Publishing Co. Pte. Ltd. https://doi.org/10.1142/9789812703460_0016.