Have you ever watched a fractal video? Here's one from YouTube. Just click the play icon and watch -- listen, too, if you have speakers or headphones. You may recognize the mesmerizing melody as the theme music from Eternal Sunshine of the Spotless Mind. If you're wondering what a fractal is, it's a geometric shape that can be infinitely subdivided into parts that are self-similar -- each part is a reduced-size copy of the whole. To see the world in a grain of sand...
This particular fractal is from the "Mandelbrot set" and is generated from a simple mathematical formula: z=z^2+c. (Simple to mathematicians, that is.)
Wednesday, September 19, 2007
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