Development of an Algorithm for Constructing Complex Fractal Images using Geometric Substitutions from Fractals Generated by the L-systems Method

Abstract

In this article, some elements of the theory of fractals, methods and algorithms for constructing fractals are mentioned. The analysis of studies on the method of L-systems from the methods of constructing fractals, algorithms for constructing some fractal images, and the obtained results are presented. Using the method of L-systems, a geometric model of creating new complex fractal images using geometric substitutions from dragon-shaped, tree-shaped, and spiral fractals was built, and the results were obtained using the developed software.