Math Patterns That Go On Forever but Never Repeat. By Patrick Honner. May 23, 2023. ... These are examples of geometric tilings, arrangements of shapes that fit snugly together while filling up space.

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 ...

Google's second generation of its AI mathematics system combines a language model with a symbolic engine to solve complex geometry problems better than International Mathematical Olympiad (IMO) gold ...

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.

The pattern is related to extrinsic, rather than intrinsic, geometry. Credit: bibi57/Getty. The growth of rose petals exploits a geometric trick previously unobserved in nature, physicists have found.