Lissajous knots and billiard knots
Volume 42 / 1998
Banach Center Publications 42 (1998), 145-163
DOI: 10.4064/-42-1-145-163
Abstract
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.
