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Lissajous and Fourier Knots

2015/07/03 by Marc Soret, Soret, Marc, Marina Ville +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.DG #math.GT

paper · pdf · doi:10.48550/arxiv.1507.00880

32 pages, 18 figures

arxiv created 2015/07/03 · arxiv updated 2015/07/07

Abstract

We prove that any knot of ℝ3 is isotopic to a Fourier knot of type (1,1,2) obtained by deformation of a Lissajous knot.

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