Chebyshev diagrams for two-bridge knots

DOI10.1007/s10711-010-9514-7zbMath1238.57011arXiv0909.3281OpenAlexW2027864161MaRDI QIDQ649040

Pierre-Vincent Koseleff, Daniel Pecker

Publication date: 30 November 2011

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3281

zbMATH Keywords

Chebyshev polynomialscontinued fractionsrational knotstwo-bridge knotsharmonic knotsLissajous knotsreal smooth curves

Mathematics Subject Classification ID

Related Items (8)

The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams ⋮ Crossing numbers of random two-bridge knots ⋮ The first rational Chebyshev knots ⋮ A lower bound on the average genus of a 2-bridge knot ⋮ 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 ⋮ Random knots using Chebyshev billiard table diagrams

Cites Work

• The first rational Chebyshev knots
• A polynomial parametrization of torus knots
• Generating functions, Fibonacci numbers and rational knots
• There are infinitely many Lissajous knots
• On Fibonacci Knots
• ON POLYNOMIAL TORUS KNOTS
• Sampling Lissajous and Fourier Knots
• LISSAJOUS KNOTS
• POLYNOMIAL REPRESENTATION OF TORUS KNOTS
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