Infinitely many copies of a 13-sided shape can be arranged with no overlaps or gaps in a pattern that never repeats. David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss (CC BY ...

Repeating patterns are useful things. Whether you need a cool wallpaper for your desktop or smartphone, a texture to incorporate into your own design, or even just something you can print out on the ...

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, ...

As a marriage and family therapist, I work with clients to recognize and break family relationship patterns that no longer work for them. Many of us unknowingly repeat patterns in our relationships ...

Frank A. Farris does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

Creatively tiling a bathroom floor isn’t just a stressful task for DIY home renovators. It is also one of the hardest problems in mathematics. For centuries, experts have been studying the special ...