Benoit Mandelbrot: Fractals the Art of Roughness
In this video, courtesy of TED, Benoit Mandlebrot talks about fractals. Beginning by looking at a cauliflower, how each floret is an exact replica of the whole cauliflower, but smaller. By considering the surface area of the cauliflower, the conversation moves on to describe what is termed as the 'roughness' of a shape, and the concept of this 'roughness' being able to be given a numerical value.
The concepts surrounding fractals have applications from measuring the lengths of coastlines to finding the area of a human lung. The mathematics behind fractals can be used in the film industry creating images using mathematical formulae.