Also called the Tait Flyping Conjecture. Given two reduced alternating projections of the same knot, they are equivalent on the Sphere Iff they are related by a series of Flypes. It was proved by Menasco and Thistlethwaite (1991). It allows all possible Reduced alternating projections of a given Alternating Knot to be drawn.

**References**

Adams, C. C. *The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots.*
New York: W. H. Freeman, pp. 164-165, 1994.

Menasco, W. and Thistlethwaite, M. ``The Tait Flyping Conjecture.'' *Bull. Amer. Math. Soc.* **25**, 403-412, 1991.

Stewart, I. *The Problems of Mathematics, 2nd ed.* Oxford, England: Oxford University Press, pp. 284-285, 1987.

© 1996-9

1999-05-26