SuperFractals
by Michael Fielding Barnsley
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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 show more 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. show lessTags
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Mathematical modeling of patterns of nature, building on Barnsley's previous methodology of iterated function systems. Readable, for the most part, only by professional mathematicians and their graduate students. The rest of us can admire the exquisite color figures. www.superfractals.com
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