“…The Moment Theorem and its analogues have numerous applications in the theory of packing and covering, polytopal approximation, numerical integration, information theory, etc., (see L. Fejes Tóth [13], A. Florian [15] and P. M. Gruber [19], [20] and [21]). Knowing the profound importance, it is not surprising that numerous additional proofs are available (see G. Fejes Tóth [8], A. Florian [14] and P. M. Gruber [17]). If f is a strictly monotone increasing function of x , then G. Fejes Tóth [9] and P. M. Gruber [18] proved that the typical DirichletVoronoi cell is asymptotically a regular hexagon in any optimal conguration of at mostn points for the Moment Theorem (2).…”