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Invertible Knot

A knot which can be deformed into itself but with the orientation reversed. The simplest noninvertible knot is 08-017. No general technique is known for determining if a Knot is invertible. Burde and Zieschang (1985) give a tabulation from which it is possible to extract the invertible knots up to 10 crossings.

See also Amphichiral Knot


Burde, G. and Zieschang, H. Knots. Berlin: de Gruyter, 1985.

© 1996-9 Eric W. Weisstein