Categorization of fractal plants

Fractals in nature are always a result of some growth process. The language of fractals which has been created specifically for the description of natural growth process is called L-systems. Recently, superior iterations (essentially, investigated by Mann [Mann WR. Mean value methods in iteration. Proc Am Math Soc 1953;4:506–10 [MR0054846 (14,988f)]]) has been introduced in the study of fractal and chaos. In this paper, inspired by superior iterates, we have generated fractal plants categorically using stochastic L-system. Some beautiful plants are also given in the paper.