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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"〔. Tait used the term to mean, "a change of infinite complementary region".〕). 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.
==See also==
* Reidemeister moves are another commonly studied kind of manipulation to knot diagrams.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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