The Computational Beauty of Nature
Computer Explorations of Fractals, Chaos,
Complex Systems, and Adaptation


About the Book
  · title page
  · home*
  · cover artwork
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  · three themes
  · part synopses
  · selected excerpts
  · all figures from book
  · quotes from book
  · glossary from book
  · bibliography
  · slide show
Source Code
  · overview &
documentation
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  · download source code
  · java applets
Miscellany
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Glossary - J


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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, 1998-2002. All Rights Reserved. Last modified: 30 Nov 2002