Among the large number of algorithms and technologies for synthesizing multifractals, a special place is occupied by algorithms based on the Brownian dynamics of a point in a field of N attraction forces. It is shown that the boundary points of the paths of such motion form fractal sets. This allows us to significantly enrich the existing synthesis capabilities, to obtain the dependence of fractal parameters on the parameters of the field of gravity, in an isotropic or anisotropic formulation, with the ability to synthesize almost any isotropic or anisotropic mono- or multifractals with predefined service-useful properties. A list of parameters controlling the properties of synthesis is given: the number and relative position of the attractive forces, their field characteristics, coordinates of the points of application, characteristics of the field component tensors, transparency component of the field barriers, perturbation of the coordinates of the points of application of the forces, etc. The obtained dependences of the influence of control parameters on the characteristics of synthesized fractal structures allow us to come close to the correct formulation and solution of the inverse problem of fractal analysis for new generation mano- and multifractals.