Resistance of fractal structures to natural and man-made influences

Abstract

The theory of fractals is applicable for creating the real objects and for constructing the independent elements of the framework or the whole structure of the building. It's supposed that this type of building has reliability and stability to natural and man-made influences. Innovative program was developed to research the fractal forms. The object of the study was a three-dimensional Mandelbrot fractal. New terminology has been developed and applied to three-dimensional fractals of even and odd powers. External structures of various powers of three-dimensional fractal were modeled and researched. The resistance analysis of fractal structures was conducted by using a power coefficient of the fractal's exostructure. It's pointed, that fractal structure is most rationally to produce by 3D printing. The 3D model of the fractal was printed from ABS plastic and can be used as a frame of the unique building.