The ability to make custom patterns is quite helpful but learning how to make patterns that repeat seamlessly in Illustrator makes it even better. Patterns that will show where the edges repeat may ...

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 ...

Extracting regularities from temporal sequences of events is central to human cognition. By identifying patterns, people form predictions about upcoming events. If, when waiting at a train crossing, ...

IT may not be generally known that the Theorem of Pythagoras, Euclid I. 47, is closely connected with the Theory of Repeating Patterns in space of two dimensions. The simplest proof by dissection of ...

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 ...