For the first time in the world, a universal generalized method for mono- and multifractals synthesis is proposed, which allows combining and reproducing almost all known artificial and semi-artificial methods of fractal synthesis on a single natural platform - Brownian point dynamics (BPD) in the field of N gravitational forces.
On the basis of the BPD method, a set of algorithms for the synthesis of fractal sets of a wide range of characteristics and properties, such as monofractal, multifractal, isotropic, anisotropic, rectangular, hexagonal, ring, single- and multi-loop, etc., has been developed.
The fractals synthesized by the BPD method enable the production of solid samples of these fractals with predetermined characteristics using modern 3D printing technologies and experimentally study their porosity, fractal dimensions, residual strength, aerodynamic and hydrodynamic drag, etc.
It is shown that the Brownian dynamics of a point in a field of N gravitational forces clearly demonstrates the generation of a fractal order by Brownian chaos with a cascade of discrete levels ordered by scaling, i.e., an important philosophical result of the demonstration of order from chaos. The influence of minimal values of N on the synthesis of linear, planar or volumetric multifractal sets is demonstrated.
Keywords: chaos; multifractal; synthesis of multifractals; tensor structure of multifractals; inverse problem of fractal analysis