Energy, ropelength, and other physical aspects of equilateral knots

Author:

Millett Kenneth C.,Rawdon Eric J.

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference62 articles.

1. Self linking numbers of space polygons;Banchoff;Indiana Univ. Math. J.,1976

2. Four-thirds power law for knots and links;Buck;Nature,1998

3. Thickness and crossing number of knots;Buck;Topol. Appl.,1999

4. J.A. Calvo, Geometric knot theory: the classification of spatial polygons with a small number of edges, Ph.D. thesis, University of California, Santa Barbara, 1998

5. Minimal edge piecewise linear knots;Calvo,1998

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1. A Descent Scheme for Thick Elastic Curves with Self-contact and Container Constraints;Journal of Scientific Computing;2024-03-20

2. The tightest knot is not necessarily the smallest;Journal of Knot Theory and Its Ramifications;2022-12

3. All prime knots through 10 crossings have superbridge index ≤ 5;Journal of Knot Theory and Its Ramifications;2022-04

4. The ropelength of complex knots;Journal of Physics A: Mathematical and Theoretical;2021-10-07

5. New Stick Number Bounds from Random Sampling of Confined Polygons;Experimental Mathematics;2021-07-23

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