Penrose tiling

Here's a look at the shape that can tile the plane in a non-repetitive pattern — and some of the creative uses people have found for it.

In 1982 Dan Shechtman discovered a crystal that would revolutionise chemistry. He has just been awarded the 2011 Nobel Prize in Chemistry for his discovery — but has the Nobel committee missed out a chance to honour a mathematician for his role in this revolution as well?