A limit theorem for one-parameter alteration of two knots of B-spline curves.
Hoffmann, Miklós, Juhász, Imre (2005)
Annales Mathematicae et Informaticae
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Hoffmann, Miklós, Juhász, Imre (2005)
Annales Mathematicae et Informaticae
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E. Neuman (1977)
Applicationes Mathematicae
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Vaughan Jones, Józef Przytycki (1998)
Banach Center Publications
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We show that Lissajous knots are equivalent to billiard knots in a cube. We consider also knots in general 3-dimensional billiard tables. We analyse symmetry of knots in billiard tables and show in particular that the Alexander polynomial of a Lissajous knot is a square modulo 2.
Skip Pennock (2005)
Visual Mathematics
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Hendricks, Jacob (2004)
Algebraic & Geometric Topology
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Dennis Roseman (1975)
Fundamenta Mathematicae
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Ljiljana Radović, Slavik Jablan (2013)
Publications de l'Institut Mathématique
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Schmitt, Peter (1997)
Beiträge zur Algebra und Geometrie
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Perko, Kenneth A. jr. (1979)
Portugaliae mathematica
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Rawdon, Eric J. (2003)
Experimental Mathematics
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Mulazzani, Michele (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Clark, Bradd Evans (1983)
International Journal of Mathematics and Mathematical Sciences
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P. V. Koseleff, D. Pecker (2014)
Banach Center Publications
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We show that every knot can be realized as a billiard trajectory in a convex prism. This proves a conjecture of Jones and Przytycki.
Livingston, Charles (2004)
Algebraic & Geometric Topology
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