  It is recognised now that a variety of real-life phenomena ranging from
diffuson of cold atoms to motion of humans exhibit dispersal faster than normal
diffusion. L\'evy walks is a model that excelled in describing such
superdiffusive behaviors albeit in one dimension. Here we show that, in
contrast to standard random walks, the microscopic geometry of planar
superdiffusive L\'evy walks is imprinted in the asymptotic distribution of the
walkers. The geometry of the underlying walk can be inferred from trajectories
of the walkers by calculating the analogue of the Pearson coefficient.
