Recent discoveries have made it possible to control computer games by thought alone, or work out what kind of item someone is thinking about from their brain signals. And that's not all. Researchers were able to use brain scans to reconstruct what someone was looking at. In these experiments the scientists were literally able to see what people were thinking. A worrying thought, perhaps. But how did they do it?

How would it feel to look in a mirror and see not your own reflection but instead how you would look as the opposite sex? You can explore this strange alternate reality at this year's Royal Society Summer Exhibition where scientists from Queen Mary, University of London and University College London will use mathematical wizardry to produce gender reversed images of faces.

And three cheers for the maths behind its success!

Josefina Alvarez describes the workings of the most famous search engine of them all. You'll need some linear algebra for this one, but it's worth the while!

Maths finds the structures that underpin written language