## Mandelbrot set

Holly Krieger has won a Whitehead Prize for work that combines number theory and dynamical systems.

This article gives a short but thorough introduction to that fabled beast of mathematics: the Mandelbrot set.

In this video the mathematician Holly Krieger explains how complex numbers are important in the study of dynamical systems.

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.

The Abel Prize 2011 goes to John Willard Milnor of Stony Brook University, New York for "pioneering discoveries in topology, geometry and algebra".

Benoît Mandelbrot, the father of fractal geometry, died last Thursday at the age of 85. Born in Poland in 1924, Mandelbrot had dual French and American citizenship and spent most of his working life in the US. He died of cancer in a hospice in Cambridge, Massachusetts.

**Robert L. Devaney**explores the maths behind these beauties and shows that they're loaded with mathematical meaning.