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Experimental Mathematics Volume 18, 2009 - Issue 4
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Original Article

Sampling Lissajous and Fourier Knots

Adam Boocher Mathematics Department, University of California, Berkeley, Evans Hall, Berkeley, CA 94720
,
Jay Daigle California Institute of Technology, Mail Code 253–37, Pasadena, CA 91125
,
Jim Hoste Pitzer College, Claremont, CA 91711
&
Wenjing Zheng Mathematics Department, University of California, Berkeley, Evans Hall, Berkeley, CA 94720
Pages 481-497 | Published online: 30 Jan 2011

Citations (14)

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Read on this site (1)

Christoph Lamm. (2021) The Search for Nonsymmetric Ribbon Knots. Experimental Mathematics 30:3, pages 349-363.
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Articles from other publishers (13)

Moshe Cohen. (2022) The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams. Journal of Knot Theory and Its Ramifications 30:13.
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Danica Sugic, Mark R. Dennis, Franco Nori & Konstantin Y. Bliokh. (2020) Knotted polarizations and spin in three-dimensional polychromatic waves. Physical Review Research 2:4.
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Chaim Even-Zohar, Joel Hass, Nati Linial & Tahl Nowik. (2019) Universal knot diagrams. Journal of Knot Theory and Its Ramifications 28:07, pages 1950031.
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Moshe Cohen, Chaim Even-Zohar & Sunder Ram Krishnan. (2018) Crossing numbers of random two-bridge knots. Topology and its Applications 247, pages 100-114.
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P.-V. Koseleff, D. Pecker, F. Rouillier & C. Tran. (2018) Computing Chebyshev knot diagrams. Journal of Symbolic Computation 86, pages 120-141.
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Chaim Even-Zohar. (2017) Models of random knots. Journal of Applied and Computational Topology 1:2, pages 263-296.
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P.-V. Koseleff & D. Pecker. (2016) Harmonic knots. Journal of Knot Theory and Its Ramifications 25:13, pages 1650074.
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Marc Soret & Marina Ville. (2016) Lissajous and Fourier knots. Journal of Knot Theory and Its Ramifications 25:05, pages 1650026.
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Moshe Cohen & Sunder Ram Krishnan. (2015) Random knots using Chebyshev billiard table diagrams. Topology and its Applications 194, pages 4-21.
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Pierre-Vincent Koseleff & Daniel Pecker. (2015) On Alexander–Conway polynomials of two-bridge links. Journal of Symbolic Computation 68, pages 215-229.
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P.-V. KOSELEFF & D. PECKER. (2012) CHEBYSHEV KNOTS. Journal of Knot Theory and Its Ramifications 20:04, pages 575-593.
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P. -V. Koseleff & D. Pecker. (2010) Chebyshev diagrams for two-bridge knots. Geometriae Dedicata 150:1, pages 405-425.
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P.-V. Koseleff, D. Pecker & F. Rouillier. (2010) The first rational Chebyshev knots. Journal of Symbolic Computation 45:12, pages 1341-1358.
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