Today’s image of the week shows a simulation of a knotted tube. Modelling twisting and knots like this is useful for simulating the behaviour of large molecules, cables and even the behaviour of magnetic flux lines in stars.
In their paper, published in JPhysA, Christopher B Prior and Sébastien Neukirch present a new measure of the writhing of curves which assesses the changes in how a ribbon links itself due to deformation.
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Front Image and article image: The formation of a ‘knotted’ tube from an unknotted tube, adapted from Christopher B Prior and Sébastien Neukirch 2016 J. Phys. A: Math. Theor. 49 215201