Investigation of the volumetric fractal structure shaping

Abstract

On the basis of a specially developed algorithm, shaping of the fractal structures, the formation of which is regulated by the power index of the fractal, has been carried out. A sphere and an ellipsoid were used as the basic shapes. The formation analysis has made it possible to determine the characteristic principles of the fractal structure growth. The performed numerical experiment with respect to volumetric fractal structures of power 8 made it possible to determine the spectrum of frequencies and forms of natural oscillations. The offered objects of fractal architecture are analogs of unique high-rise and large-span buildings and structures. The application of the fractal shaping paradigm in combination with digital technologies and innovative materials will make it possible to create completely new objects of architecture.