Common to both natural and mathemat

Common to both natural and mathematically deduced fractals is the quality of similarity across scale. In trees, for example, the pattern of the branches repeats on a smaller and smaller scale, and the inlets and promontories of coastlines have their own inlets and promontories. In the strange attractor, similar structures exist at different scales. Whereas the strange attractor provides a useful way of characterizing the bounded randomness of a chaotic system, the fractal does likewise in characterizing its property of similarity across scale. As we shall see, each method illuminates the study of narrative.