منابع مشابه
Fractals under the Microscope or Reaching beyond the Dimensional Formalism of Fractals with the Wavelet Transform
Recently, there has been a tendency to see natural phenomena as resulting from the action of dynamical processes. These processes (and the objects to which they give rise) are surprisingly often well characterised using some sort of hierarchical approach. It is also one of the key features of fractal geometry that the action of dynam-ical systems can result in intrinsically hierarchical structu...
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We survey the application of contraction mapping argments to selfsimilar (nonrandom) fractal sets, measures and functions. We review the results for selfsimilar random fractal sets and measures and show how the method and extensions also work for selfsimilar random fractal functions.
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Where most fractal artists conclude their process, Rod Seeley begins. In his procedure, equations, coeffi cients, and fractal software are the source materials. From there, the vibrant pixel poetry commences via a series of unrepeatable transformations. To create what he calls “stylized fractal art,” Seeley says he uses at least half a dozen freeware fractal programs that function, for him, lik...
متن کاملThe theta-point and critical point of polymeric fractals : a step beyond Flory approximation
We propose a new form of free energy for polymeric fractals (chain-like, branched or membranes) based on self-similarity arguments and on the existence of a maximum gyration radius. Results are obtained conceming the size exponents at the theta-point and critical point. These two exponents depend on a single parameter only, for which a simple phenomenological expression is provided. A very good...
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This paper describes a simple but flexible family of Haskell programs for drawing pictures of fractals such as Mandelbrot and Julia sets. Its main goal is to showcase the elegance of a compositional approach to program construction, and the benefits of a clean separation between different aspects of program behavior. Aimed at readers with relatively little experience of functional programming, ...
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ژورنال
عنوان ژورنال: Nature
سال: 2007
ISSN: 0028-0836,1476-4687
DOI: 10.1038/445262a