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.
This rule is then applied to the shape again and again, until infinity. In maths when you change something it is usually called a function, so what happens is that a function is applied to a shape recursively, like the diagram below. After it has repeated an infinite amount of times, the fractal shape is produced.