Tessellation is a repeating pattern of the same shapes without any gaps or overlaps. ... The first tilings were made from square tiles. As an art form, tessellation is particularly rich in ...

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.

Usually when he created tiles, they would either settle into some repeating pattern or fail to tile much of the screen. But the hat tile seemed to do neither. Smith cut out 30 copies of the hat on ...

“The tessellations were something I had not seen before,” he says. Keen to investigate further, he cut out dozens of paper copies and started fresh. One after another, the tiles kept falling into ...