In  has been recalled that the radius of the m′th circle in a subseries of circles is of the form (2)Rm≅L(m+m0)2 where m0 is a numerical constant, depending on the choice of the radius of the first circle and L is some macroscopic distance associated with the dimension of the largest circle. The problem of Apollonius has been also examined by Mathematicians like Marcel Berger  in the frame of geometrical constructions. Nowadays, some papers continue to examine the high dimensional Apollonius Networks .