This article is devoted to the study of the basic concepts of the use of fractal images in the national textile design. The methods of constructing equations of fractal patterns for patterns of Uzbek national costumes are studied. Many concepts in textile design are analyzed along with other mathematical concepts, such as geometric transformations and formulas, by determining color, image clarity and reflection in fabrics. These concepts are a typical process in the textile design industry. However, the methods used are less effective as a good way to design and colorize a universal design with innovative patterns. To solve this problem, it is important to explore the possibilities of mathematical functions, software developed using fractal models to create innovative designs. The article gives opinions on the advantages and possibilities of the R-function method (RFM), based on the theory of V.L. Rvacheva. Using the R-function method (RFM), fractal equations were constructed for the design of Uzbek national costumes and recursive algorithms were developed. The article discusses the programming environment for building complex fractal patterns of patterns in modern design. Software environments for the R-function (RFM) method based on the theory of V.L. Rvacheva for building fractals related to the design of Uzbek national costumes. Based on the software environment, fractals for the pattern design of Uzbek national costumes in raster graphics are obtained and shown in the Fig.
Anarova, Sh.A.; Ibrohimova, Z.E.; and Xurramova, R.I.
"FRACTALS IN THE PATTERNED DESIGN OF UZBEK NATIONAL COSTUMES AND SOFTWARE FOR THEIR CONSTRUCTION,"
Textile Journal of Uzbekistan: Vol. 10
, Article 12.
Available at: https://uzjournals.edu.uz/titli/vol10/iss1/12