Cable Knot

Let be a torus knot. Then the satellite knot with companion knot is a cable knot on .

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{{0,-1},{1,0}}.{{1,2},{3,4}}+{{2,-1},{-1,2}}
ellipse with semiaxes 2,5 centered at (3,0)
g(n+1)=n^2+g(n)

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.

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Cable Knot

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

Cable Knot

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References

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