7 citations · 8 across the 4 of their papers we have counts for
4 papers
Torus knots are Fourier-(1,1,2) knots
Jim Hoste
Every torus knot can be represented as a Fourier-(1,1,2) knot which is the simplest possible Fourier representation for such a knot. This answers a question of Kauffman and confirm…
Sampling Lissajous and Fourier knots
Adam Boocher, Jay Daigle, Jim Hoste +1
A Lissajous knot is one that can be parameterized by a single cosine function in each coordinate. Lissajous knots are highly symmetric, and for this reason, not all knots are Lissa…
Computing boundary slopes of 2-bridge links
Jim Hoste, Patrick D. Shanahan
We describe an algorithm for computing boundary slopes of 2-bridge links. As an example, we work out the slopes of the links obtained by 1/k surgery on one component of the Borrome…
Commensurability classes of twist knots
Jim Hoste, Patrick D. Shanahan
In this paper we prove that if is the complement of a non-fibered twist knot in , then is not commensurable to a fibered knot complement in a $\mathbb…