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 ...

Tile patterns in which the same shape is laid out without gaps can be seen on castle walls and chess boards in artificial objects, and in insect compound eyes and beehives in biology. Square tiles are ...

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 ...