For centuries, mathematicians and floor designers alike have been fascinated by the shapes that can tile a plane — in particular, those that do so without repetition. Now, a team of chemists has ...

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. Creatively tiling a bathroom floor isn’t just ...

A 13-sided shape known as “the hat” has mathematicians tipping their caps. It’s the first true example of an “einstein,” a single shape that forms a special tiling of a plane: Like bathroom floor tile ...

Nature is full of patterns. Among them are tiling patterns, which mimic what you'd see on a tiled bathroom floor, characterized by both tiles and interfaces – such as grout – in between. In nature, a ...

You may have identified your dream tiles for tiling a kitchen wall, splashback or floor in your home – but choosing the ideal tiling patterns when laying your tiles will be just as important to the ...