Given an original knot , the knots produced by mutations together with itself are called mutant knots. Mutant knots are often difficult to distinguish. For instance, mutants have the same HOMFLY polynomials and hyperbolic knot volume. Many but not all mutants also have the same knot genus.

# Mutant Knot

## See also

Kinoshita-Terasaka Mutants, Knot, Mutation## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Mutant Knot." From
*MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/MutantKnot.html