Superfractals

SuperFractals first published in 2006 is the successor to Fractals Everywhere in which the power and beauty of Iterated Function Systems were introduced and applied to producing startling and original images that reflect complex structures found for example in nature. This provoked the question of whether there is a deeper connection between topology geometry IFS and codes on the one hand and biology DNA and protein development on the other. Now 20 years later Barnsley explains how IFS have developed in order to address this issue. Ideas such as fractal tops and superIFS are introduced and the classical deterministic approach is combined with probabilistic ideas to produce new mathematics and algorithms that open a whole theory that could have applications in computer graphics bioinformatics economics signal processing and beyond. For the first time these ideas are explained in book form and illustrated with breathtaking pictures.