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The paradigm of fractal structures

Abstract

The paradigm of fractal structures

Kravchenko G.M.,Vasilyev S.E., Pudanova L.I.

Incoming article date: 03.11.2017

The article describes the basic concepts of the three-dimensional analogue of Mandelbrot set and fractal architecture. The ideas of fractal structure shaping in the process of parametric and fractal design are outlined. The algorithm for fractals visualizing in geometric forms is proposed, implemented in the program "3D fractal modeling", developed by the authors. The complex fractal structure of the three-dimensional Mandelbrot fractal is examined layer by layer and compared with the Buddhist mandalas and the architecture of the pagodas.

Keywords: fractal, fractal geometry, Mandelbrot set, volumetric fractal , three-dimensional Mandelbrot fractal modeling, fractal structure,