Satellite Knot

Let $K_1$ be a knot inside a Torus. Now knot the Torus in the shape of a second knot (called the Companion Knot) $K_2$. Then the new knot resulting from $K_1$ is called the satellite knot $K_3$. Composite Knots are special cases of satellite knots. The only Knots which are not Hyperbolic Knots are Torus Knots and satellite knots (including Composite Knots). No satellite knot is an Almost Alternating Knot.

See also Almost Alternating Knot, Companion Knot, Composite Knot, Hyperbolic Knot, Torus Knot

References

Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, pp. 115-118, 1994.