%0 Journal Article
%T Poncelet's theorem and Billiard knots
%A Daniel Pecker
%J Mathematics
%D 2011
%I arXiv
%X Let $D$ be any elliptic right cylinder. We prove that every type of knot can be realized as the trajectory of a ball in $D.$ This proves a conjecture of Lamm and gives a new proof of a conjecture of Jones and Przytycki. We use Jacobi's proof of Poncelet's theorem by means of elliptic functions.
%U http://arxiv.org/abs/1110.0415v1