Peter de Jong Attractors

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


Details

For more information and examples of high-resolution images, see

[1] A. K. Dewdney, COMPUTER RECREATIONS: Probing the strange attractions of chaos, Scientific American , Vol. 257, No. 1 (July 1987), pp. 108-111

[2] Clifford A. Pickover, The Pattern Book: Fractals, Art, and Nature, World Scientific Publishing Company, Hackensack, NJ: 1995. p. 197

[3] Paul Bourke, Peter de Jong Attractors, January 1989, Images updated February 2014


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