Flype

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A flype consists of turning a tangle, T, by 180 degrees.
A flype consists of turning a tangle, T, by 180 degrees.

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.[1] 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.[2]

[edit] References

  1. ^ Weisstein, Eric W. "Flype." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Flype.html
  2. ^ Weisstein, Eric W. "Tait's Knot Conjectures." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/TaitsKnotConjectures.html
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