It’s this kind of beauty that a retired print technician was seeking when he recently discovered the first “aperiodic monotile”— a single tile that fills up the plane in a non-repeating pattern. To ...

Copies of these two tiles can form infinitely many different patterns that go on forever, called Penrose tilings. Yet no matter how you arrange the tiles, you’ll never get a periodic repeating pattern ...

While certain other tiles can be arranged so that they don’t form a repeating pattern, einsteins are special because that’s the only way they can tile. Previously, mathematicians knew of sets ...

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 ...

A new 13-sided shape is the first example of an elusive "einstein" — a single shape that can be tiled infinitely without repeating a pattern. When you purchase through links on our site ...