What are fractals? A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems.
There are some of the most beautiful and most bizarre geometric shapes. They look the same at various different scales – you can take a small extract of the shape and it looks the same as the entire shape. This curious property is called self-similarity.
To create a fractal, you can start with a simple pattern and repeat it at smaller scales, again and again, forever. In real life, of course, it is impossible to draw fractals with “infinitely small” patterns. However we can draw shapes which look just like fractals. Using mathematics, we can think about the properties a real fractal would have – and these are very surprising.
Here you can see, step by step, how to create two famous fractals: the Sierpinski Gasket and the von Koch Snowflake.
Credits: Paola Gutierrez and Dulce Sanchez. v:
“In mathematics, any of a class of complex geometric shapes that commonly have, a concept first introduced by the mathematician Felix Hausdorff in 1918.” In mathematical jargon, a fractal is a subset of a Euclidean space for which the Hausdorff dimension strictly exceeds the topological dimension
A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos.
Credits: Oscar Estevez and Aldo Jose
Fractal Invasion 
