It's a famous fractal with a quite complex formula. It is actually, believe it or not, a set of complex numbers. Remember complex numbers are formed by a + bi where i = square root of -1? Well, the Mandelbrot set is drawn by plotting dots at (a, b) on a plain for every complex number (a + bi) in the set. Each complex number in the set is defined by this sequence when it does not escape to infinity
{f(0), f(f(0)), f(f(f(0))),....}
where f(n) = n² + C and C is a complex number.
This fractal contains a great variety of graphics through out the entire fractal, and of course infinite smaller versions of itself amongst it. The demo is just a tiny version of it, and there are a lot more great images of it zoomed in from 100 times to 6 billion times. It surely is fascinating. Click here to see them.
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