Mathematicians from Yorkshire University, the University of Cambridge, the University of Waterloo and the University of Arkansas have one-upped themselves by finding a close relative of "the hat," a ...

The “hat” wowed mathematicians. Now the shape is shaking up physics. In 2023, mathematicians reported that the 13-sided tile was the first known “einstein.” That’s a shape that can perfectly cover an ...

For some, tiles are rarely thought of unless it’s time for home renovations, but for mathematicians, they present plenty of conundrums—and a clever team has just cracked a particularly tricky one.

But if Tile (1,1) is modified by replacing its straight edges with curves, it becomes a vampire einstein—a single shape that without reflection tiles the infinite plane in a pattern that can never be ...