A fractal is any pattern that reveals greater complexity as it is enlarged--so, fractals graphically portray the notion of 'worlds within worlds'. Things that seem to be random, or even chaotic, such as smoke rising, clouds, coastlines, treebark, leaves, roots, lightning, planetary orbits, galaxies, music, human body rhythms, animal group behavior, geologic activity, mathematical equations, the human brain, etc., are actually quite orderly. And quite beautiful.
"The closer you come, the more detail you see -- forever. Infinity is implicit and invisible in the computations of calculus, but explicit and graphically manifest in fractals."
--Alan Beck
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