Abstract
This paper presents a new formalism for the concept of fractal iteration applied to the dynamics of petri nets by translating the evolution of it into graphics output. The idea is derived from the comcept of fractal iteration principles and the approach use a petri nets as an abstract powerful modeling tool for the generation of self-similar fractal images via its duality, deadlock, inhibitor arcs, firing sequence and marking reachability. Generating fractal images via the dynamics of a petri nets allows an easy and direct proof for the similarity and correspondence between the dynamics of complex quadratic fractals via a recursive procedure and the state of a petri nets via a reachability problem. The reachability problem will be solved in terms of dynamics of the fractal in order to generate images via two proposed methods. Validation of our approach is given in terms of experimental results. An investigation of the relationships between the generated images and their corresponding petri nets is also discussed.
