  Sequences of Levy transformations for the Darboux system of conjugates nets
in multidimensions are studied. We show that after a suitable number of Levy
transformations, with at least a Levy transformation in each direction, we get
closed formulae in terms of multi-Wro\'nski determinants. These formulae are
for the tangent vectors, Lam\`e coefficients, rotation coefficients and points
of the surface.
