Influence of the “dot mutations” in the L-system generation algorithm on the “Sierpinsky serviette” fractal structure
Pushchino, Moscow Region
"Математика. Компьютер. Образование". Cб. трудов X международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2003. Vol. 2. Pp. 62-69.
In 1968 Aristid Lindenmayer used Kokh algorithms as the simple mathematical model of a plant morphogenesis. Presently this kind of algorithms is known as L-systems (Lindenmyer’s systems).
L-systems generation algorithm consists of few rules that are used iterationally to create appropriate graphic structure. Any change in the given set of the rules may be considered as “mutation”.
The aim of the given work was the study of simple “dot” mutations on the structure of the fractal known as “Sierpinsky serviette”. The free distributed program “MKokh” was used for L-systems structure generation.
Results obtained divide all “dot mutations” observed into the two groups: most “mutations” provide for great influence of the structures obtained but some mutation of the same class provide for unexpected drastic changes.