 Conversely, has proved that there exists a universal lower bound on the Hausdorff dimension of limit sets of all non-classical Schottky groups.The limit set of a Schottky group, the complement of Ω("G"), always has Lebesgue measure zero, but can have positive "d"-dimensional Hausdorff measure for "d" < 2.It is perfect and nowhere dense with positive logarithmic capacity.