The impossible becomes possible when you move into the third dimension.
A quick look at an ancient problem.
A mathematical "paradox" explains why more roads don't necessarily mean fewer traffic jams.
Why there are only three regular polygons you can tile a wall with.
What does packing balls in higher dimensions have to do with getting your message across?
What is dark matter and how can the LHC find it?
Using maths to simulate the behaviour of criminals.