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Iterated functions in the complex plane were investigated in the late 19th and early 20th centuries by Henri Felix Klein, Pierre Fatou and Gaston Julia. However, without the aid of modern computer graphics, they lacked the means to visualize the beauty of many of the objects that they had discovered.
Fractal patterns have been found in the paintings of American artist Jackson Pollock. While Pollock's paintings appear to be composed of chaotic dripping and splattering, computer analysis has found fractal patterns in his work.
The mathematics behind fractals began to take shape in the 17th century when mathematician and philosopher Leibniz considered recursive self-similarity (although he made the mistake of thinking that only the straight line was self-similar in this sense).
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On 2008/08/29, Will said: Feel free to post any comments or questions here. I will reply as soon as I am able. Thanks for your time, and I look forward to hearing from you. -- Will.
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