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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Experimental Mathematics
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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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