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Title

Graphics Gallery: Generating and Rendering Fractal Images
Authors

José Manuel Gutiérrez
Organization: University of Cantabria
Department: Department of Applied Mathematics and Computational Science
Andrés Iglesias
Organization: University of Cantabria
Department: Department of Applied Mathematics and Computational Science
M. A. Rodríguez
Organization: CSIC
Department: Institute of Advanced Studies in Modern Physics
V. J. Rodríguez
Organization: CSIC
Department: Institute of Advanced Studies in Modern Physics
Journal / Anthology

The Mathematica Journal
Year: 1997
Volume: 7
Issue: 1
Page range: 6-13
Description

The Iterated Function Systems (IFS) model has been popularized by Barnsley as a useful method for generating self-similar fractals. This article introduces a package for modeling and generating IFS fractal images using the chaos game algorithm. The efficiency of the rendering process is analyzed, giving the most efficient set of probabilities to render the fractal attractor associated with an IFS. A gallery of fractals with several classical examples is provided to illustrate the use of the package.
Subjects

*Mathematica Technology > Programming > 2D Graphics
*Mathematics > Calculus and Analysis > Dynamical Systems
*Mathematics > Discrete Mathematics > Cellular Automata
URL

http://www.mathematica-journal.com/issue/v7i1/