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 ...

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 ...

Is it possible to tile a surface with a single shape in such a way that the pattern never repeats itself? In 2022, a mathematical solution to this 'Einstein problem' was discovered for the first time.

Experiments and modeling work offers new insights into the striking patterns of repeating stones seen in frost-prone landscapes. Nature is full of repeating patterns that are part of the beauty of our ...

Most people do not repeat mistakes because they enjoy pain. They repeat them because familiarity feels safer than change. We tell ourselves we will do things differently next time, yet find ourselves ...