complex dynamics
If you're bored with your holiday snaps, then why not turn them into fractals? A new result by US mathematicians shows that you can turn any reasonable 2D shape into a fractal, and the fractals involved are very special too. They are intimately related to the famous Mandelbrot set. 

You've probably seen pictures of the famed Mandelbrot set and its mysterious cousins, the Julia sets. In this article Robert L. Devaney explores the maths behind these beauties and shows that they're loaded with mathematical meaning.

