Lissajous and Fourier knots

Abstract : We prove that any knot of R^3 is istopic to a Fourier knot of type (1,1,2) obtained by deformation of a Lissajous knot.
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https://hal.archives-ouvertes.fr/hal-01279163
Contributor : Marc Soret <>
Submitted on : Thursday, February 25, 2016 - 3:07:53 PM
Last modification on : Monday, December 9, 2019 - 9:57:27 AM

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Marc Soret, Marina Ville. Lissajous and Fourier knots. Journal of Knot Theory and Its Ramifications, World Scientific Publishing, 2016, 25 (05), pp.1650026. ⟨10.1142/S0218216516500267⟩. ⟨hal-01279163⟩

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