Following Knots Down Their Energy Gradients

Details Following Knots Down Their Energy Gradients Following Knots Down Their Energy Gradients

2012-02-10

arxiv.org/abs/1202.2180v1

Mathematics

Geometric Topology

18 pages, 13 figures, MsWord document

Scientific paper

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.

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