The chaotic attractors with symmetries of the triangle groups are visualized in the hyperbolic plane. Using probabilistic iterated function systems that involve both affine transformations of the plane and isometries of triangle groups, we can create intriguing and exotic attractor's images. The derived images are of self-similarity and of infinitely fine structure; they contain symmetries associated with the triangle groups as well. The method provides a novel approach for devising tiling patterns with symmetries.


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    Title :

    Chaotic attractors with symmetries of the triangle groups


    Contributors:


    Publication date :

    2005-01-01


    Size :

    1042957 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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