The original version of this story appeared in Quanta Magazine. If you want to tile a bathroom floor, square tiles are the simplest option—they fit together without any gaps in a grid pattern that can ...

Remember the graph paper you used at school, the kind that's covered with tiny squares? It's the perfect illustration of what mathematicians call a "periodic tiling of space", with shapes covering an ...

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 ...

We love monochromatic subway tile as much as the next person; it's classic for a reason. But lately designers are arranging tiles in unexpected patterns to pack a stronger visual punch. There's plenty ...