Development of an Algorithm for Constructing Complex Fractal Images using Geometric Substitutions from Fractals Generated by the L-systems Method
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Samarkand branch of TUIT
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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.
Ushbu maqolada fraktallar nazariyasining ayrim elementlari, fraktallarni qurish usullari va algoritmlari keltirib oʻtilgan. Fraktallarni qurish usullaridan L-tizimlar usuli boʻyicha tadqiqotlar tahlili, ayrim fraktal tasvirlarni qurish alogiritmlari, olingan natijalar taqdim etilgan. L-tizimlar usulini qoʻllagan holda ajdahosimon, daraxtsimon, spiralsimon fraktallardan geometrik almashtirishlarni qoʻllagan holda yangi murakkab fraktal tasvirlarni hosil qilishning geometrik modeli qurilib, ishlab chiqilgan dasturiy vosita yordamida natijalar olingan.
Ushbu maqolada fraktallar nazariyasining ayrim elementlari, fraktallarni qurish usullari va algoritmlari keltirib oʻtilgan. Fraktallarni qurish usullaridan L-tizimlar usuli boʻyicha tadqiqotlar tahlili, ayrim fraktal tasvirlarni qurish alogiritmlari, olingan natijalar taqdim etilgan. L-tizimlar usulini qoʻllagan holda ajdahosimon, daraxtsimon, spiralsimon fraktallardan geometrik almashtirishlarni qoʻllagan holda yangi murakkab fraktal tasvirlarni hosil qilishning geometrik modeli qurilib, ishlab chiqilgan dasturiy vosita yordamida natijalar olingan.
Keywords
fractal, L-systems, dragon fractal, tree fractal, spiral fractal, fraktal, L-tizimlar, ajdahosimon fraktal, daraxtsimon fraktal, spiralsimon fraktal