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Lissajous and Fourier Knots

Published 3 Jul 2015 in math.GT and math.DG | (1507.00880v1)

Abstract: We prove that any knot of R<sup>3\mathbb{R}<sup>3 is isotopic to a Fourier knot of type (1,1,2)(1,1,2) obtained by deformation of a Lissajous knot.

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