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| Open Access | ANALGORHYTHM FOR THE ANALYSIS OF THREE-DIMENSIONAL FRACTAL DYNAMIC STRUCTURES
Baymuratova Gulayim Tajimurat qizi , assistant teacher, Software engineering and mathematical modeling Faculty of Computer Engineering, Nukus Branch of Tashkent University of Information TechnologiesAbstract
The study of fractals has long attracted researchers from different disciplines because of their complex but self-similar structures that can be observed in nature. This article presents the development of an advanced algorithm designed for the analysis of three-dimensional (3D) fractal dynamic structures. The algorithm uses the principles of fractal geometry, computational mathematics and computer graphics to ensure efficient generation and management of 3D fractals. This algorithm is used in fields such as materials science and computer graphics.
Keywords
Fractal geometry, 3D fractal structures, Iterative generation, Transformation rules, Self-similarity, Affine transformations, Geometric integrity, Computational algorithms, Mathematical modeling
References
Mandelbrot, B. B. (1982). The Fractal Geometry of Nature. W.H. Freeman and Company.
Barnsley, M. F. (1988). Fractals Everywhere. Academic Press.
Peitgen, H.-O., Jürgens, H., & Saupe, D. (2004). Chaos and Fractals: New Frontiers of Science. Springer.
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This work is licensed under a Creative Commons Attribution 4.0 International License.