## Articles

**Ben Allanach**investigates.

**Carola Schönlieb**explores how mathematicians use the heat equation to fill in the gaps.

**Oli Freke**has always been fascinated by sine waves, so much so that he's created a song based on them for the Geekpop festival, which is currently taking place on the Web. In this article he explores his song, touching on ancient Greek mythology, strange piano tunings and Johann Sebastian Bach.

**David Spiegelhalter** and **Mike Pearson** explore how risk can be spun and there's an interactive animation for you to have a go yourself.

**Jerry Gollub**tells

*Plus*about a new discovery which combines experiment with sophisticated maths.

**Angus Brown**looks at one of these, a simple model for option pricing, and explains how it takes us on the road to the famous Black-Scholes equation of financial mathematics, which won its discoverers the 1997 Nobel Prize in Economics.

**Colva Roney-Dougal**explores the maths, from chaos to group theory.