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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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Contributor : Marc Soret Connect in order to contact the contributor
Submitted on : Thursday, February 25, 2016 - 3:07:53 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:09 PM

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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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