Islamic geometric patterns and architecture represent a profound synthesis of mathematical precision and artistic expression inherent in centuries of cultural heritage. These patterns are not merely ...

A few minutes into a 2018 talk at the University of Michigan, Ian Tobasco picked up a large piece of paper and crumpled it into a seemingly disordered ball of chaos. He held it up for the audience to ...

From prehistoric pottery designs to the formal proofs of ancient Greece, mathematics has evolved as both an art and a science. Across cultures and centuries, humans have used patterns, geometry, and ...

Debates over how geometry is understood and learned date back at least to the days of Plato, with more recent scholars concluding that only humans possess the foundations of this understanding.

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...

Tiling patterns can be found thoughout the natural world - from honeycomb to fish scales. But now researchers have come up with a new way to create patterns in petri dishes - using bacteria. By ...