Recent breakthroughs in artificial intelligence have uncovered surprising geometric structures within large language models (LLMs) like ChatGPT. These findings offer a new perspective on how these ...

A mathematician has developed a new way to uncover simple patterns that might underlie apparently complex systems, such as clouds, cracks in materials or the movement of the stockmarket. The method, ...

Scientists have discovered new clues to how and why groups of atoms and molecules may favor less symmetrical and more complex, flexible geometric patterns. The answer relates to a familiar concept in ...

A scientist from the University of Sharjah in the United Arab Emirates has arrived at a new method that may help craftsmen to simulate and produce immeasurable numbers of stunning patterns of ...

For more than a century, scientists have treated chemistry as the master key to building new materials, tuning bonds and charges to coax atoms into useful patterns. A new wave of research is quietly ...