Peter de Jong Attractors
This Demonstration iterates the map attributed to Peter de Jong:[more]
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.[less]
For more information and examples of high-resolution images, see
 Clifford A. Pickover, The Pattern Book: Fractals, Art, and Nature, World Scientific Publishing Company, Hackensack, NJ: 1995.