Researchers at MIT have been working to explore the always-difficult world of chaos theory by way of a rather simple experiment involving bouncing water droplets.
Fractal geometry and chaos theory are two very interconnected forms of mathematics. It is difficult to fully understand one without also knowing the other.
While chaos theory inherently possess very clear and obvious correlation to the physical world in the modeling of motion and turbulent systems, other uses exist as well.
The search to understanding chaos is the search to be able to apply a precise mathematical definition to systems which seem on the surface to be undefinable.