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.
As we all know, there are no perfect circles in nature and no perfect squares. Not only that, but when you look at trees or mountains or river systems they don't resemble any shapes one is used to in math. However with simple formulas iterated multiple times, fractal geometry can model these natural phenomena with alarming accuracy. If you can use simple math to make things look like the world, you know you're onto a winner. Fractal geometry does this with ease. This blog post shall give a quick overview of how to make fractal shapes and show how these shapes can resemble nature. It shall then go on to talk about dimensionality, which is a cool way to measure fractals.