  In this paper, we consider the evolution of the so-called vortex filament
equation (VFE), \begin{equation*} \mathbf X_t = \mathbf X_s\wedge\mathbf
X_{ss}, \end{equation*} taking a planar regular polygon of $M$ sides as initial
datum. We study VFE from a completely novel point of view: that of an evolution
equation which yields a very good generator of pseudorandom numbers in a
completely natural way. This essential randomness of VFE is in agreement with
the randomness of the physical phenomena upon which it is based.
