Mathematical patterns reveal profound truths about the universe and, surprisingly, about our inner lives as well. These five visual math concepts offer unique frameworks for understanding our behavior ...

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 ...

John Conway’s Game of Life, a famous cellular automaton, has been found to have periodic patterns of every possible length. In 1969, the British mathematician John Conway devised a beguilingly simple ...

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 ...

Have you ever admired how the slats of a hardwood floor fit together so cleanly, or how the hexagons underneath your bathroom rug perfectly meet up? These are examples of geometric tilings, ...