Fractals is a new branch of mathematics and art. Perhaps this is the reason why most people recognize fractals only as pretty pictures useful as backgrounds on the computer screen or original postcard patterns. But what are they really?
Most physical systems of nature and many human artifacts are not regular geometric shapes of the standard geometry derived from Euclid. Fractal geometry offers almost unlimited waysof describing, measuring and predicting these natural phenomena. But is it possible to define the whole world using mathematical equations?
This article describes how the four most famous fractals were created and explains the most important fractal properties, which make fractals useful for different domain of science.
Two of the most important properties of fractals are self-similarity and non-integer dimension.