Pattern formation using L-systems: A case study in forming Neyname’s words

L-System is a parallel rewriting system and a type of formal grammar, which was introduced to be used in describing the behavior of plant cells, modeling the growth processes of plant development, the morphology of organisms, and generating self-similar fractals. The mentioned applications lie in the field of pattern formation. However, to the best of our knowledge, visual forming of a language’s words using L-Systems has not been studied yet. This paper aims to fill the gap by introducing grammars and rules of a Persian poem from Rumi, so-called Neyname, in which 108 words were generated. The main reason for selecting the Persian language is its nature in terms of complexity, dealing with the baseline, and being cursive. The results of this study show the superiority of the proposed method in comparison with geometrical and fractal approaches in case of the absolute and relative complexity in word production as well as the simplicity of the extracted rules.