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Lissajous knots and billiard knots

Vaughan JonesJózef Przytycki — 1998

Banach Center Publications

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.

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