The ornament explores a branch of mathematics known as tiling, which seeks to fill a space completely with regular geometric patterns. Math shows that a flat surface can be regularly covered by ...

Google researchers have developed an artificial intelligence (AI) math system that can out-smart gold medalists in international geometry competitions ... it can engage not only in pattern matching ...

There have been exciting milestones. In 2015, Pedro Reis, a mechanical engineer at the Massachusetts Institute of Technology, described physical laws for the geometric patterns that form on deflated ...

If you've ever uncrumpled a crumpled piece of paper, you may have noticed the creases form in geometric patterns. But you probably didn't! It's a crumpled piece of paper! Well, next time, look closer.

This is a very different situation from the monohedral tilings that use regular hexagons. In those tilings, the repetitive structure is unavoidable. The geometry of the tiles themselves forces the ...

Math underlies many of the art pieces M.C. Escher created, because he was fascinated with the idea of depicting infinity in various ways, producing infinitely repeatable patterns known as ...