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Fractal geometry is a field of math born in the 1970s and mainly developed by Benoit Mandelbrot. If you ;ve already heard of fractals, you ;ve probably seen the picture above. It   called the Mandelbrot Set and is an example of a fractal shape.     This article originally appeared on George Dallas   blog, which you should absolutely go check out. It is reprinted here with George   permission. The geometry that you learned in school was about how to make shapes; fractal geometry is no different. While the shapes that you learned in classical geometry were  8216 mooth ;, such as a circle or a triangle, the shapes that come out of fractal geometry are rough ; and infinitely complex. However fractal geometry is still about making shapes, measuring shapes and defining shapes, just like school. There are two reasons why you should care about fractal geometry: 1. The process by which shapes  stanley cup becher are made in fractal geome stanley mugs try is amazingly simple yet completely different to classical geometry. While classical geometry uses formulas to define a shape, fractal geometry uses iteration. It therefore breaks away from giants such as Pythagoras, Plato and Euclid and heads in another direction. Classical geometry has enjoyed over 2000 years of scrutinisation, Fractal geome stanley cups uk try has enjoyed only 40. 2. The shapes that come out of fractal geometry look like nature. This is an amazing fact that is hard to ignore. As we all know, there are no perfect circles