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LiveScience
LiveScience
Paul Sutter

Mathematicians end decades-long quest to find elusive 'vampire einstein' shape

A 14-sided shape tiled endlessly without repeating a pattern

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.

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