Let be a torus knot. Then the satellite knot with companion knot is a cable knot on .
Cable Knot
See also
Satellite KnotExplore 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. 118, 1994.Burde, G. and Zieschang, H. Knots, 2nd rev. ed. Berlin: de Gruyter, 2002.Hoste, J.; Thistlethwaite, M.; and Weeks, J. "The First ." Math. Intell. 20, 33-48, Fall 1998.Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 112 and 283, 1976.Referenced on Wolfram|Alpha
Cable KnotCite this as:
Weisstein, Eric W. "Cable Knot." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CableKnot.html