3d Fractal Modeling

Authors

  • Baymuratova Gulayim Tajimuratovna 2nd year master's degree student Faculty of Computer Engineering, specialty: Design of practical software. Tashkent University of Information Technologies named after Muhammad al-Khorazmi
  • Abdukarimova Mukhayyo Muzaffarovna 2nd year master's degree student Faculty of Computer Engineering, specialty: Design of practical software. Tashkent University of Information Technologies named after Muhammad al-Khorazmi

DOI:

https://doi.org/10.51699/ajdes.v26i.641

Keywords:

fractal, non-Euclidean geometry, fractal dimension, flat fractal, spatial fractal, 3D fractal modeling, fractal power, fractal construction iterations, finite element model, visualization

Abstract

The article provides a classification of fractals, both flat and volumetric, their dimensions, and the basic principles of construction. For the first time, an algorithm for visualizing fractals into geometric shapes using the program "3D modeling of fractals" is proposed. The module for generating points in space belonging to a three-dimensional fractal combines points in space into a set of triangular finite elements in the environment of the SCAD computing complex. Complex fractal geometry is transformed into a spatial finite element model of fractals.

References

Danilov Yu. A. Lectures on Nonlinear Dynamics. M.: Postmarket, 2001. 184 p.

Kravchenko G.M., Trufanova E.V., Borisov S.V., Kostenko S.S. Dynamic calculation and analysis of the hemispherical shell of the coating of the object "Winter Garden" of the Technopark of the Rostov State Civil Engineering University (RGSU) // Engineering Bulletin of the Don, 2016, No. 1. URL: ivdon.ru/magazine/archiven1y2016/3494

Karpilovsky V.S. SCAD office. Computing complex SCAD. M.: ABC Publishing House, 2007. 590 p.

Mandelbrot, V.V. The Fractal Geometry of Nature. San Francisco: 1982. 462 p.

Morozov A.D. Introduction to the theory of fractals. M. Izhevsk: Institute of Computer Research, 2006. 162 p.

Vasilkov G.V., Markin S.G. Fractals are a consequence of the tendency of systems to be isoenergetic. // Materials of the international scientific-practical conference "Construction 2003". Rostov-n/D: RSSU, 2003. p. 147-148.

Voloshin A.V. On the aesthetics of fractals and the fractality of art. In: Synergetic paradigm. Progress-Tradition, 2002. 495 p.

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Published

2023-02-28

How to Cite

Tajimuratovna, B. G. ., & Muzaffarovna , A. M. . (2023). 3d Fractal Modeling. Academic Journal of Digital Economics and Stability, 26, 22–25. https://doi.org/10.51699/ajdes.v26i.641

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Section

Articles