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There are infinitely many Lissajous knots

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Publication:1360912
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DOI10.1007/BF02677455zbMath0879.57008WikidataQ56003636 ScholiaQ56003636MaRDI QIDQ1360912

Christoph Lamm

Publication date: 23 July 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156283


zbMATH Keywords

Alexander polynomialLissajous knot


Mathematics Subject Classification ID


Related Items

BILLIARD KNOTS IN A CYLINDER ⋮ Bivariate Lagrange interpolation at the node points of non-degenerate Lissajous curves ⋮ The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams ⋮ Models of random knots ⋮ The first rational Chebyshev knots ⋮ Chebyshev diagrams for two-bridge knots ⋮ Kauffman's clock lattice as a graph of perfect matchings: a formula for its height ⋮ On Alexander-Conway polynomials of two-bridge links ⋮ CHEBYSHEV KNOTS ⋮ Poncelet's theorem and billiard knots ⋮ TORUS KNOTS ARE FOURIER-(1,1,2) KNOTS ⋮ Universal knot diagrams ⋮ The limit shapes of midpoint polygons in ℝ3



Cites Work

  • Unnamed Item
  • Non-trivial negative links have positive signature
  • Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
  • An index of a graph with applications to knot theory
  • LISSAJOUS KNOTS
  • ON THE HOMOLOGY INVARIANTS OF KNOTS
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