14 citations · 53 across the 9 of their papers we have counts for
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math.GT2012★ 2 cited
Deformation of cylinder knots
Christoph Lamm
Knots parametrized in cylinder coordinates by t -> (st, 3 + cos(nt), cos(mt + ϕ)) share properties of Lissajous and billiard knots in a cylinder. We use these 'billiard knots in a…
math.GT2012
Fourier Knots
Christoph Lamm
We show that every knot has a checkerbord diagram and that every knot is the closure of a rosette braid. We define Fourier knots of type (n_1, n_2, n_3) as knots which have paramet…