Splash, Flame Fractals 1024x918
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Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms). Natural objects that approximate fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines, and snow flakes. However, not all self-similar objects are example, the real line (a straight Euclidean line) is formally self-similar but fails to have other fractal characteristics; for instance, it is regular enough to be described in Euclidean terms.
A class of examples is given by the Cantor sets, Sierpinski triangle and carpet, Menger sponge, dragon curve, space-filling curve, and Koch curve. Additional examples of fractals include the Lyapunov fractal and the limit sets of Kleinian groups. Fractals can be deterministic (all the above) or stochastic (that is, non-deterministic). For example, the trajectories of the Brownian motion in the plane have a Hausdorff dimension of 2.
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Splash, Flame Fractals
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fractal, fractal flame, splash
© William
Dudziak
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Filename: splash.jpg
File Size: 284227 bytes
Width: 1024 pixels
Height: 918 pixels
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On 2009/01/10, 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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