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High resolution portrait of the ideal trefoil knot

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.

preprint2014arXivOpen access
Sylwester PrzybylPiotr Pieranski
physics.comp-ph
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Open access2 authors1 topic
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Sylwester PrzybylPiotr Pieranski

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