
What has 14 sides, is full of curves, and can perfectly cover a surface with no gaps or overlaps? It's not a riddle — it's a "vampire einstein."
In March, a retired printing technician named David Smith stumbled upon a remarkable discovery in the world of mathematics. He found a 13-sided shape that could completely tile a surface without ever repeating. The shape, nicknamed "the hat" for its vaguely fedora-like shape was the culmination of decades of hunting by mathematicians around the world.