Geometry and graphics of the fractal expansion of a square and its applications

Abstract

Geometry of the fractal expansion of simple geometric shapes, in particular the square, 5-celled cross and swastikas, is a new section of fractal geometry that correctly and clearly describes the dynamics of natural processes of growth and development of animate and inanimate cellular structures, since the iterative processes of their fractal expansion are mutually complementary and inextricably interconnected. The theoretical part of this paper requires further research, and the practical one needs for the design and engineering, and technological development of a solution to the problem for building roads with the fractal-synergetic pavement as an alternative to asphalt.