Determination of fractal dimensions from equivalent L systems

Abstract

This paper revises a few existing methods for computing fractal dimensions, underlines their dependency on the graphical properties of the curves, and proposes and discusses a new method, based on the representation of fractals by means of Lindenmayer systems, that makes use of the structure of L systems to compute the fractal dimension. The method is implemented in Prolog, and its limitations and usefulness are discussed.