The Computational Beauty of Nature

Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation

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J

Julia Set     A set of complex numbers that do not diverge if iterated an infinite number of times via a simple equation. The points form an extremely complex fractal. There is an uncountable infinity of Julia sets, each of which corresponds to a particular complex number that appears as a constant in the iterative procedure. Julia sets are similar to co-recursively enumerable sets because only points that are not a members of the set can actually be identified as such. All of the Julia sets are related to the Mandelbrot set.


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Copyright © Gary William Flake, 1998-2005. All Rights Reserved.