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, ...

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 ...

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 ...

A small clay tablet from the site of Kish in Iraq reveals a student calculated the area of a triangle incorrectly 4,000 years ago. When you purchase through links on our site, we may earn an affiliate ...

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 ...

a molecule of carbon dioxide is pretty much straight versus a molecule of water is bent why the difference and more importantly is there a way to predict what the shape looks like in three dimensions ...

Molecular Geometry: If you are looking for the topic of molecular geometry, well you have come to the right place. Molecular geometry is an important topic for students. If students understand it well ...