Finding the simple patterns in a complex world »

An ANU mathematician has developed a new way to uncover simple patterns that might underlie apparently complex systems, such as clouds, cracks in materials or the movement of the stockmarket. The method, named fractal Fourier analysis, is based on new branch of mathematics called fractal geometry. The method could help scientists better understand the complicated signals that the body gives out, such as nerve impulses or brain waves. "It opens up a whole new way of analysing signals," said Professor Michael Barnsley, who presented his work at the New Directions in Fractal Geometry conference at ANU. "Fractal Geometry is a new branch of mathematics that describes the world as it is, rather than acting as though it's made of straight lines and spheres. There are very few straight lines and circles in nature. The shapes you find in nature are rough." The new analysis method is closely related to conventional Fourier analysis, which is integral to modern image handling and audio signal processing.