What happens when you take a long strip of paper, fold it into small triangles to form the shape of a hexagon, and then start playing with it?

If you're lucky, you might just discover an extra dimension at the intersection of number theory and algebraic geometry through the miracle of hexaflexagons!

Or more accurately, what you'll actually discover is an entry point into the mathematical concept of a group and its practical applications via group theory. A story related to which just happened to be a runner up to being the biggest math story of 2015!