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math.GT2007★ 1 cited
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…
math.GT2007★ 7 cited
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…