Ideal trefoil knot

P. Pieranski and S. Przybyl
Phys. Rev. E 64, 031801 – Published 14 August 2001
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Abstract

A set of self-contact points of the most tight, parametrically tied trefoil knot is determined. The knot is subjected to further tightening procedure based on the shrink-on-no-overlaps algorithm. Changes in the structure of the set of the self-contact points are monitored and the final form of the set is determined.

  • Received 19 March 2001

DOI:https://doi.org/10.1103/PhysRevE.64.031801

©2001 American Physical Society

Authors & Affiliations

P. Pieranski and S. Przybyl

  • Poznan University of Technology, Nieszawska 13A, 60 965 Poznan, Poland

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Issue

Vol. 64, Iss. 3 — September 2001

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