\(L\)-systems and mutually recursive function systems (Q1323340)

The authors investigate the relationships between two different approaches to generate fractal images -- \(L\)-systems and Mutually Recursive Function Systems (MRFS). Two different ways in which \(L\)- systems have been used to generate images are considered. The first is the well-known turtle geometry method, and the other is the vector interpretation method as used by Dedekind. It is shown that a uniformly growing D0L-systems can be simulated by an MRFS, and any D0L-system can be simulated by an MRFS with a control set produced by an iterative GSM.