A new theory proposes that the universe’s fundamental forces and particle properties may arise from the geometry of hidden extra dimensions. These dimensions could twist and evolve over time, forming ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

A hidden quantum geometry that distorts electron paths has finally been observed in real materials. This “quantum metric,” once thought purely theoretical, may revolutionize electronics, ...

Geometry Dash Lite has always been known as a fast-paced, rhythm-based platformer that tests your reflexes and patience. The PC version available at geometrylite.io takes the classic mobile experience ...

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...

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 ...

Why it matters: As more high-end games require hardware-accelerated ray tracing, users continue disparaging the technology over its high computational cost and significant performance hit. One of ...

MIT physicists and colleagues have for the first time measured the geometry, or shape, of electrons in solids at the quantum level. Scientists have long known how to measure the energies and ...

The original version of this story appeared in Quanta Magazine. In the fall of 2022, a Princeton University graduate student named Carolina Figueiredo stumbled onto a massive coincidence. She ...

The following is an excerpt from The Gravity of Math: How Geometry Rules the Universe by Steve Nadis and Shing-Tung Yau. Copyright 2024. Available from Basic Books ...