Open AccessDevelopment of Fractal Equations of National Design Patterns based on the Method of R-Function
Author(s) -
Anarova Shahzoda*,
Narzulloev Oybek,
Ibragimova Zulaykho
Publication year - 2020
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.d1169.029420
Subject(s) - fractal , function (biology) , fibonacci number , iterated function system , tree (set theory) , computer science , mathematics , mathematical analysis , engineering drawing , geometry , engineering , discrete mathematics , evolutionary biology , biology
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.