Before revision:  We prove that in a finite two-dimensional torus, an intermittent L\'evy walk whose step-lengths are distributed according to an ] inverse-square power-law is a near-optimal strategy for finding ] sparse targets of any size and shape.
After revision:  We prove that in a finite two-dimensional torus, an intermittent L\'evy walks are random walks processes whose step length follows a long-tailed power law distribution. Due to their abundance as movement patterns of URLanisms, significant theoretical efforts have been devoted to identify the foraging circumstances that would make such patterns advantageous ] inverse-square power-law is a near-optimal strategy for finding ] sparse targets of any size and shape.