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.

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 ...

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 ...

Remember the graph paper you used at school, the kind that's covered with tiny squares? It's the perfect illustration of what mathematicians call a "periodic tiling of space", with shapes covering an ...

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 ...

Remember the graph paper you used at school, the kind that’s covered with tiny squares? It’s the perfect illustration of what mathematicians call a “periodic tiling of space”, with shapes covering an ...