High resolution portrait of the ideal trefoil knot
Computational Physics
2015-06-18 v1
Abstract
The shape of the most tight trefoil knot with N=200640 vertices found with an appropriately modified finite element method is analyzed. The high number of vertices makes plots of its curvature and torsion very precise what allows the authors to formulate new, firmly justified conjectures concerning the shape of the ideal trefoil knot.
Cite
@article{arxiv.1402.5760,
title = {High resolution portrait of the ideal trefoil knot},
author = {Sylwester Przybyl and Piotr Pieranski},
journal= {arXiv preprint arXiv:1402.5760},
year = {2015}
}
Comments
14 figures