Flype

In the mathematical theory of knots, a flype is a kind of manipulation of knot and link diagrams used in the Tait flyping conjecture.

It consists of twisting a part of a knot, a tangle T, by 180 degrees.

Flype comes from a Scots word meaning to fold or to turn back ("as with a sock").

This is the Tait flyping conjecture, proven in 1991 by Morwen Thistlethwaite and William Menasco.

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