Every knot is a billiard knot
Pierre-Vincent Koseleff (INRIA Rocquencourt), Daniel Pecker
TL;DR
This paper proves that any knot can be represented as a billiard trajectory within a convex prism, confirming a longstanding conjecture in knot theory.
Contribution
It establishes that all knots can be realized as billiard trajectories in convex prisms, solving the Jones-Przytycki conjecture.
Findings
All knots can be embedded as billiard trajectories in convex prisms.
The conjecture of Jones and Przytycki is confirmed.
The result bridges knot theory and billiard dynamics.
Abstract
We show that every knot can be realized as a billiard trajectory in a convex prism. This solves a conjecture of Jones and Przytycki.
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