A team from the University of Arkansas have discovered the first shape that can cover a wall without ever creating a repeating pattern. The property is known as 'aperiodic tiling', and until now ...

The 13-sided figure is the first that can fill an infinite surface with a pattern that is always original. Repeating patterns have translational symmetry, meaning you can shift one part of the ...

The diapering — a decorative technique using a repeating pattern — is used as a “hat band” around the perimeter of the building, between the second and third floors. The former Charlie ...

In his work, Berger found an unbelievably large set of 20,426 differently colored tiles that can pave a plane without the color pattern ever repeating itself. And even better, it is physically ...

Yet no matter how you arrange the tiles, you’ll never get a periodic repeating pattern. “These are tilings that shouldn’t really exist,” said Nikolas Breuckmann, a physicist at the ...