Flype

Flype

In the mathematical theory of knots, a flype is a knot move used in the Tait flyping conjecture.It consists of twisting a part of a knot, a tangle: T by 180 degrees. Flype comes from an old scottish word meaning "to fold" or "to turn back". [Weisstein, Eric W. "Flype." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Flype.html] Two reduced alternating diagrams of an alternating link can be transformed to each other using flypes. This is the Tait flyping conjecture, proven in 1991 by Morwen Thistlethwaite and William Menasco. [Weisstein, Eric W. "Tait's Knot Conjectures." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/TaitsKnotConjectures.html]

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  • flype — noun a) A fold or flap, especially of the brim of a hat b) A transformation of a knot involving a 180° rotation of a tangle …   Wiktionary

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  • William Menasco — William W. Menasco is a topologist and a professor at the University at Buffalo. He is best known for his work in knot theory.BiographyMenasco received is B.A. from the University of California, Los Angeles in 1975, and his Ph.D. from the… …   Wikipedia

  • flipe — variant of flype …   Useful english dictionary

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