Tying a rope by shaking one end requires mastery of chaotic dynamics.
References
Belmonte, A., Shelley, M. J., Eldakar, S. T. & Wiggins, C. H. Dynamic patterns and self-knotting of a driven hanging chain. Physical Review Letters 87, 114301, (2001).
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Ball, P. Maths helps magicians knot. Nature (2001). https://doi.org/10.1038/news010913-8
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DOI: https://doi.org/10.1038/news010913-8
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