Monday, June 2nd, 2008

Mandelbrot set

In mathematics, fractals are complex geometric shapes that are capable of describing irregularly shaped objects (e.g. snowflakes), that cannot be described by classical (Euclidian) geometry.

The Mandelbrot set is the mother of all fractals and was invented by the polish mathematician Benoit B. Mandelbrot. The Mandelbrot set is given by the iterative equation Z_n+1 = Z_n² + c, where Z and c are complex values such as 2+i (where i is the imaginary square root of -1).

Read more on wikipedia.

But since pictures speak louder than words, check out these 2 youtube videos: one, two

When you are done, have a look at my version of the Mandelbrot set: