Fractals are geometrical objects, such as lines and triangles, but usually more complicated, like the shapes of ferns, cloud boundaries, and patterns of mountains.
They have in common that they can be understood using beautiful new simple mathematics, fractal geometry, which exploits the fact that all these objects are self-similar. They can be 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. Join Professor Michael Barnsley from the Mathematical Sciences Institute for an introduction to fractal geometry.
In this lecture, Professor Barnsley and his team will demonstrate how to build a fractal object and explain how fractal geometry replicates nature’s complex patterns.