Creating Fractal Patterns From Geometric Shapes Using the Ifs Method
Year: 2025
Type: article
Abstract: Geometric models and recursive algorithms for fractal patterns were developed using basic concepts and forms of geometry. Using L-systems and the IFS method, the equation of fractal-like forms, namely the Harter-Hateway Dragon, Yang-Xi Luo chain, and Serpin triangle fractals, was constructed and algorithms were developed. In constructing complex fractal-structured forms using geometric permutations, the equation of complex fractal-structured fractals was constructed based on scaling and rotation geometric permutations using L-systems and the IFS method, and an algorithm was developed. Key Keywords: Fractal, IFS, geometric substitution, L- systems, Harter-Hateway Dragon, Yang-Xi Luo chain
Authors: Anarova Shakhzoda Amanbayevna Professor, Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Ibrohimova Zulaykho Ergash kizi PhD, Samarkand branch of Tashkent University of Information Technologies named after Muhammad al-Khwarizmi.
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6968456901
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