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.

Do you like curves? The you'll love tricurves and their ghostly phantoms!

How should people arrange themselves for maximal socialising at a safe distance?

Our colleague Becky Warren has been distracting us with her wonderful tiling puzzles...

Why there are only three regular polygons you can tile a wall with.

A brand-new pentagon to tile your wall with.

Last October, two mathematicians won £1m when it was revealed that they were the first to solve the Eternity jigsaw puzzle. It had taken them six months and a generous helping of mathematical analysis. Mark Wainwright meets the pair and finds out how they did it.