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The fractal Mandelbrot set and the shaping of the 3D fractal

Abstract

The fractal Mandelbrot set and the shaping of the 3D fractal

Kravchenko G.M., Pudanova L.I.

Incoming article date: 13.12.2018

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. Innovative program was developed to research the shaping of the 3D fractal. The object of the study is 3D Mandelbrot fractal. External structures of various powers of 3D fractal were modeled and researched. New terminology has been developed which can be applied to 3D fractals. The power factor shows the ratio of the work of external forces to the total external. The concept of forming 3D fractal can be used in the design of unique buildings and structures.

Keywords: fractal, fractal geometry, Mandelbrot set, volumetric fractal, fractal structure, finite element method.