Benoit Mandelbrot, Polish-born French-American mathematician, was largely responsible for the present interest in Fractal Geometry. His earlier work, combining linguistics and statistical thermodynamics, as well as mathematics and finance, led to a simple mathematic formula, the "Mandelbrot set", which described the self-similarity of shapes found in irregular objects in nature and even galaxies. Fractal geometry is the geometry of nature, of familiar and apparently random forms like trees, coastlines, rivers, and lightning. It gives us a language for our natural world. In this documentary, hosted by Martin Shaw, Benoit Mandelbrot tells his story in his own unique style, supported by interviews with a dozen contributors, including Nobel Laureate Professor Ivar Giaever, Yale University's Professors Peter Jones and Michael Frame and with scenes from the natural word and stunning visuals of the Mandelbrot set.