About Mandelbrot fractals

It happened in the year 1980, when a mathematician by the name of Benoît Mandelbrot made the probably most sensational discovery of complex dynamics with an IBM computer. He found fascinating pictures which consist of none but a simple mathematic principle.

No one has ever designed these pictures, because they simply exist, such as mathematics and laws of nature exist. Manifold amazing structures can be found by zooming in. These structures are repeating in smaller shapes over and over again, but never exact the same, just resembling.

Even the basic shape (here black in the middle) is repeating again and again with different borders in all conceivable variations.