Pump Up The Volume [1990] - Pixies Wave Of Mutilation (UK Surf version) 1  The film is well worth a watch but somewhat dated - Both this scene and the Pixies song has stuck in my mind for a very long time. 2  My favorite scene in the film.
A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. It is also known as expanding symmetry or evolving symmetry. If the replication is exactly the same at every scale, it is called a self-similar pattern.
We can make the observation that if we continue with this indefinitely we will end up with a figure that has a finite area, but an infinite perimeter. Think about that for a moment! This is a general property of fractals. Another property of fractals is self-similarity. If we look at the perimeter it looks similar-not the same-at all levels of magnification.