Development of Fractal Equations of National Design Patterns based on the Method of R-Function
Anarova Shahzoda1, Narzulloev Oybek2, Ibragimova Zulaykho3
1Anarova Shahzoda*, Department of Audiovisual Technologies, Tashkent University of Information Technologies, Muhammad al-Khwarizmi.
2Narzulloev Oybek, Department of Audiovisual Technologies, Tashkent University of Information Technologies, Muhammad al-Khwarizmi.
3Ibragimova Zulaykho, Department of Information Technologies, Samarkand Branch of Tashkent University of Information Technologies, Muhammad al-Khwarizmi.
Manuscript received on January 13, 2020. | Revised Manuscript received on January 24, 2020. | Manuscript published on February 10, 2020. | PP: 134-141 | Volume-9 Issue-4, February 2020. | Retrieval Number: D1169029420/2020©BEIESP | DOI: 10.35940/ijitee.D1169.029420
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The paper is dedicated to the development of fractal equations of national design patterns based on the method of R-function (RFM). Using the equation of the line, the equation of the circle, and the structural means of the method of R-functions R0 : R-conjunctions, R-disjunctions and R-reflections constructed various tree-like fractals, equations of fractals, consisting of intersections, tangents of circles. By setting the number of iterations n and the angle of inclination various pre-fractals are generated based on these equations. These fractals are very beautiful, which can be used in creating computer landscapes, in various illustrations, telecommunications, the textile industry, when drawing patterns in ceramic and porcelain products, as well as developing patterns of modern design of Uzbek national carpets and costumes, etc.
Keywords: Method of R–function, R-conjunctions, R-Disjunctions, R-reflections, fractal, Tree-like Fractals, Prefractal, Uzbek National Carpets.
Scope of the Article: Recent Trends & Developments in Computer Networks