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.

This consisted of 20,426 unique shapes, ... Repeating patterns are often seen in the molecular structures of crystalline materials, and make them easy to break.

Infinitely many copies of a 13-sided shape can be arranged with no overlaps or gaps in a pattern that never repeats. David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss () ...

What is unique about this geometrical figure is that it can tile a plane without creating a repeating pattern. The hat can tile a surface without creating transitional symmetry. In other words ...

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.

Earlier this year, mathematicians discovered a unique shape. Now do-it-yourselfers have found ingenious ways to put it to use. Science | What Can You Do With an Einstein?

Aperiodic tiling, in which shapes can fit together to create infinite patterns that never repeat, has fascinated mathematicians for decades, but until now no one knew if it could be done with just ...

Mathematics Mathematicians make even better never-repeating tile discovery. An unsatisfying caveat in a mathematical breakthrough discovery of a single tile shape that can cover a surface without ...