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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.
In the 1960s, Mandelbrot started investigating self-similarity in papers such as How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension, which built on earlier work by Lewis Fry Richardson. Finally, in 1975 Mandelbrot coined the word "fractal" to denote an object whose Hausdorff-Besicovitch dimension is greater than its topological dimension. He illustrated this mathematical definition with striking computer-constructed visualizations. These images captured the popular imagination; many of them were based on recursion, leading to the popular meaning of the term "fractal".
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Splash, Flame Fractals
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fractal flame, splash, fractal
© William
Dudziak
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Filename: splash_500.jpg
File Size: 78184 bytes
Width: 500 pixels
Height: 448 pixels
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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.
On 2007/12/04, david said:
pretty sweet stuff here with your flame fractals...it would be really neat if you would put up 1200 x 1024 pics of this stuff so that people could use it for desktops. keep up the good work!
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