Curves with interchanged curvature and torsion

Question

Imagine you have two curves $\alpha_1$ and $\alpha_2$, such that the curvature $\kappa_1$ of $\alpha_1$ is the torsion $\tau_2$ of $\alpha_2$ and the torsion $\tau_1$ of $\alpha_1$ is the curvature $\kappa_2$ of $\alpha_2$. Is there any relationship between the curves $\alpha_1$ and $\alpha_2$?