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Gordian Unknots

2001/03/26 by P. Pierański, P. Pieranski, Sylwester Przybyl +6 · 1 citation
Medicine · Neuroscience · Physics and Astronomy · #Classical Physics (physics.class-ph) #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Neurology and Historical Studies #Takotsubo Cardiomyopathy and Associated Phenomena #physics.class-ph #physics.comp-ph

paper · pdf · doi:10.48550/arxiv.physics/0103080

6 pages, 3 figures

arxiv created 2001/03/26 · openalex publication_date 2001/03/26 · arxiv updated 2009/12/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

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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