Peter de Jong Attractors

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This Demonstration iterates the map attributed to Peter de Jong:




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.


Contributed by: Vitaliy Kaurov (September 2009)
After work by: Peter de Jong and Paul Bourke
Open content licensed under CC BY-NC-SA



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.

[2] Complexification Gallery.

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