Two researchers have proved that Penrose tilings, famous patterns that never repeat, are mathematically equivalent to a kind of quantum error correction.

At Long Last, Mathematicians Have Found a Shape With a Pattern That Never Repeats Experts have searched for decades for a polygon that only makes non-repeating patterns. But no one knew it was ...

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.