Growing a class of fractals based on combination of classical fractals and recursive mathematical series in L-systems

Abstract

L-systems ([1]) can be used to generate fractals. In this paper L-systems with a standard turtle alphabet are combined with L-systems, which emulate simple number sequences. The combination of two such L-systems is achieved by concatenating their axioms as well as merging their rule sets. This can happen in several ways, depending in part on the sequence in which axioms and right-hand sides of rules are concatenated. The purpose of this paper is to combine these two applications of L-systems to generate novel fractals. A turtle interpretation is applied to the yield of the generated hybrid L-systems resulting in new fractal images.