March 2, 2009

Mandelbrot Set


In mathematics, the Mandelbrot set, named after Benoît Mandelbrot, is a set of points in the complex plane, the boundary of which forms a fractal. Mathematically, the Mandelbrot set can be defined as the set of complex values of c for which the orbit of 0 under iteration of the complex quadratic polynomial zn+1 = zn2 + c remains bounded.[1] That is, a complex number, c, is in the Mandelbrot set if, when starting with z0=0 and applying the iteration repeatedly, the absolute value of zn never exceeds a certain number (that number depends on c) however large n gets.

Personally, I have no idea what the above actually means. Advanced mathematics is like Greek to me. I do like the pictures which are very nice, and hip. Hm. Maybe something for wallpaper companies. Hip with some retro may sell.

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