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math.AG2011★ 1 cited
Poncelet's theorem and Billiard knots
Daniel Pecker
Let be any elliptic right cylinder. We prove that every type of knot can be realized as the trajectory of a ball in This proves a conjecture of Lamm and gives a new proof…
math.AG2011
Every knot is a billiard knot
Pierre-Vincent Koseleff, Daniel Pecker
We show that every knot can be realized as a billiard trajectory in a convex prism. This solves a conjecture of Jones and Przytycki.