We show that every knot can be realized as a billiard trajectory in a convex prism. This proves a conjecture of Jones and Przytycki.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc100-0-9,
author = {P. V. Koseleff and D. Pecker},
title = {Every knot is a billiard knot},
journal = {Banach Center Publications},
volume = {102},
year = {2014},
pages = {173-178},
zbl = {1287.57011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc100-0-9}
}
P. V. Koseleff; D. Pecker. Every knot is a billiard knot. Banach Center Publications, Tome 102 (2014) pp. 173-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc100-0-9/