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 ...

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 ...

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 ...

Mathematicians solved a decades-long mystery earlier this year when they discovered a shape that can cover a surface completely without ever creating a repeating pattern. But the breakthrough had ...

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 ...

Mathematicians have discovered a single shape that can be used to cover a surface completely without ever creating a repeating pattern. The long-sought shape is surprisingly simple but has taken ...

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 ...

SOME correspondence appeared in NATURE in 1938 about the phenomenon described by Brewster 1, which is obtained by focusing on a surface covered by a repeating pattern while converging on a point ...