Fractal Graphics as the Modern Technology of Science

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Fractal Graphics as the Modern Technology of Science

Journal Title: Цифрові технології - Year 2018, Vol 1, Issue 24

Abstract

Fractal graphics revolutionized computer graphics due to the concept of fractal. The fractal allows you to think figuratively, and to transfer any algebraic problem to the geometry region, where the correct answer is always obvious. The study of fractals gave an explanation of the general, that is, in the flora, natural landscape, the phenomenon of nature with the blood vessels of man. It is the only mean of structure: self-similarity. The fractal pattern does not have identical elements, but has similarity on any scale. The object of the study was all crooked, broken, rough, wrinkled – that is all around us. It found in this extremely complex forms its wonderful order, because it was able to describe the shape of the cloud – as if not spheres, mountain surfaces – not cones, lightning – as if not straight line. Fractal graphics can "grow" such plants that do not occur in the real world, but they are fine for their feature. Fractal is a strange boundary between the fields of knowledge and human activity. Fractal science has penetrated all scientific fields: from mathematics and physics to medicine and economics. A lot of research in the field of fractal graphics has been carried out, but there are still issues, questions and problems that deserve considerable attention and a more perfect solution. The purpose of this work is to reveal the reasons for the popularity and necessity of fractal graphics in science and art, which has successfully gained mass culture and computer desktops. The article analyzes the fractal graphics, the appearance of which was a completely new type of visualization and conceptualization of reality. The questions concerning the concepts of a fractal, their classification of computation and geometric construction are covered. It is shown that the success of fractal graphics is due to the fact that, with the help of very simple formulas, virtually any user of the computer is able to understand and get amazing in terms of the complexity and beauty of the image. The systematization of fractals in two directions is carried out; the principle of construction is specified and the distinction between the main geometric figures and sets of fractal graphics is made. Software for creating fractal objects is considered. The Ultra Fractal graphic program builds three types of Mandelbrot, Phoenix (Julia set), Nova (Mandelbrot) fractals. Of these, fractal compositions are arranged, which are located on 3D objects and on a plane. The use of fractal graphics in various spheres of society's activity is analyzed.

Authors and Affiliations

I. A. Tregubova, K. O. Sobko, R. O. Gokhman

Keywords

EP ID EP675021
DOI -
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