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.

A brand-new pentagon to tile your wall with.

The laws of symmetry are unforgiving, but a team of researchers from the US have come up with a pattern-producing technique that seems to cheat them. The new technique is called moiré nanolithography and the researchers hope that it will find useful applications in the production of solar panels and many other optical devices.