9887

Peter de Jong Attractors

This Demonstration iterates the map attributed to Peter de Jong:
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The coordinates of a random point in the plane is substituted into the formula and evaluated; the result is fed back into the formula and the process is iterated. Such repeated substitution (recursion or iteration) often produces points spreading over beautiful structures called attractors. Thus a simple mathematical rule produces complex visually esthetic images.

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DETAILS

For more information and examples of high-resolution images, see
[1] Clifford A. Pickover, The Pattern Book: Fractals, Art, and Nature, World Scientific Publishing Company, Hackensack, NJ: 1995.
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