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Superfractals

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"Superfractals is the long-awaited successor to Fractals Everywhere, in which the power and beauty of iterated function systems (IFS) 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 deeper connection among topology, geometry, IFS and codes, on one hand, and biology, DNA and protein Read more...

Author(s): M F Barnsley
Publisher: Cambridge University Press
Year: 2006

Language: English
Pages: ix, 453 p. : ill. (chiefly col.
City: Cambridge
Tags: Математика;Высшая геометрия;


Content: Codes, metrics and topologies --
Transformations of points, sets, pictures and measures --
Semigroups on sets, measures and pictures --
Hyperbolic IFSs, attractors and fractal tops --
Superfractals.
Abstract: "Superfractals is the long-awaited successor to Fractals Everywhere, in which the power and beauty of iterated function systems (IFS) 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 deeper connection among topology, geometry, IFS and codes, on one hand, and biology, DNA and protein development on the other. Now, 20 years later, Barnsley brings the story up to date by explaining how IFS have developed in order to address this issue."--BOOK JACKET