The shape 'chiral', which achieves aperiodic tiling, is shown filling a plane without a repeating pattern. Courtesy of David Smith Amateur mathematicians have discovered a shape that can infinitely ...

Is it possible to tile a surface with a single shape in such a way that the pattern never repeats itself? In 2022, a mathematical solution to this 'Einstein problem' was discovered for the first time.

By jiggling thousands of metal beads in a tray for a week, researchers have created the largest-ever quasicrystal — a structure that scientists previously considered impossible. First represented in ...

A new shape called an einstein has taken the math world by storm. The craggy, hat-shaped tile can cover an infinite plane with patterns that never repeat. Creatively tiling a bathroom floor isn’t just ...