The first rational Chebyshev knots

Pierre-Vincent Koseleff, Daniel Pecker, Fabrice Rouillier

A Chebyshev knot $\mathcal{C}(a,b,c,\varphi )$ is a knot which has a parametrization of the form $x(t)=T_a(t);y(t)=T_b(t);z(t)=T_c(t+\varphi ),$ where $a,b,c$ are integers, $T_n(t)$ is the…