A mutant knot of a knot 
is a knot obtained from 
by one or more knot mutations.
The knot 
itself is included when referring to its mutation class. Mutant knots are often difficult
to distinguish. For instance, mutants have the same HOMFLY
polynomials, and hyperbolic mutants have the same volume (Ruberman 1987). Many
but not all mutants also have the same knot genus.
Mutant Knot
See also
Knot, Knot MutationExplore with Wolfram|Alpha
References
Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, p. 49, 1994.Ruberman, D. "Mutation and Volumes of Knots in
."
Invent. Math. 90, 189-215, 1987. https://doi.org/10.1007/BF01389037.Referenced on Wolfram|Alpha
Mutant KnotCite this as:
Weisstein, Eric W. "Mutant Knot." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MutantKnot.html