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GenFrac - Fractal Generator using IFS

Author of the application: Gilles Vuidel

A number of software packages exist, that are dedicated to the generation of fractal patterns. Such software packages are very useful and well adapted for generating either very beautiful fractal patterns or fractal patterns, which display well even after lots of iterations. However, no software meets the two needs that are:

  • the precise definition of the IFS not only numerically but also graphically;
  • the possibility to export the results suitable for an analysis using another software called Fractalyse.

GenFrac generates fractal patterns following strict iterative construction rules called the Iterated Functions Systems (IFS). The IFS have been proposed by Barnsley (1988). Their basic principle is as follows: at each step of the iteration, new elements are generated using a geometric mapping (scaling, refraction, rotation and translation) applied to the elements generated at the previous step of iteration.

GenFrac uses only affine IFS.

IFS matrix

GenFrac runs under any system with Java 1.5 or higher.

References

Barnsley, M. (1988). Fractals everywhere. New York: Academic Press.

Milne, B. T. (1991). The utility of fractal geometry in landscape design, Landscape and Urban Planning, 21/1-2, 81-90.

 Internet site : Download GenFrac on the Internet


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This article last updated Friday 10 April 2009. by Gilles Vuidel