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Nature 314, 132 (14 March 1985) | doi:10.1038/314132a0

Mathematics: How bent is a knot?

Ian Stewart

Anyone who has fiddled about with one of those lengths of plastic-coated spring from which curtains are sometimes hung will have noticed that it is harder to bend the spring into a knotted loop than it is into a unknotted one. Since elastic energy is concentrated on curves, this suggests that a knot is in general more bent than a simple, unknotted loop.

  1. Mathematics Unit, University of Warwick, Coventry CV4 7AL, UK.