In 2015, Pedro Reis, a mechanical engineer at the Massachusetts Institute of Technology, described physical laws for the geometric patterns that form on deflated silicon balls.

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 ...

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.

By seeing mathematics and literature as part of the same quest — to understand the world and our place in it — we can add to our experience of both, and bring whole new layers of enjoyment to ...

Intuition and informed instinct have certainly been part of geometric Langlands research, even before it went by that name. Beginning in the 18th century, mathematicians started to discover weird ...

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.

A study of medieval Islamic art has shown some of its geometric patterns use principles established centuries later by modern mathematicians. Researchers in the US have found 15th Century examples ...