English

Following Knots Down Their Energy Gradients

Geometric Topology 2012-02-13 v1

Abstract

This paper details a series of experiments in searching for minimal energy configurations for knots and links using the computer program KnotPlot. The most interesting phenomena found in these experiments is the dependence of the trajectories of energy descent upon the initial geometric conditions of the knotted embedding.

Keywords

Cite

@article{arxiv.1202.2180,
  title  = {Following Knots Down Their Energy Gradients},
  author = {Louis H. Kauffman},
  journal= {arXiv preprint arXiv:1202.2180},
  year   = {2012}
}

Comments

18 pages, 13 figures, MsWord document

R2 v1 2026-06-21T20:17:31.316Z