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Gordian Unknots

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arxiv physics/0103080 v1 pith:MJPV6S4F submitted 2001-03-26 physics.comp-ph physics.class-ph

P. Pieranski , S. Przybyl , A. Stasiak This is my paper · ORCID
classification physics.comp-phphysics.class-ph
keywords gordianropeunknotcannotconformationconformationscuttingdisentangled
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Numerical simulations indicate that there exist conformations of the unknot, tied on a finite piece of rope, entangled in such a manner, that they cannot be disentangled to the torus conformation without cutting the rope. The simplest example of such a gordian unknot is presented.

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Cited by 1 Pith paper

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  1. A Gordian Pair of Links

    math.GT 2019-08 conditional novelty 7.0 of 10

    The paper constructs a Gordian pair of links: two configurations that both minimize total ropelength in their link homotopy class, yet no length-preserving thick homotopy connects them.

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