The math world is losing its mind over the new solution to an Erdős problem. This is what AI found, how we missed it—and why ...

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 ...

Want smarter insights in your inbox? Sign up for our weekly newsletters to get only what matters to enterprise AI, data, and security leaders. Subscribe Now A new artificial intelligence system ...

OpenAI has revealed a breakthrough proof that overturns a nearly 80-year-old geometry conjecture posed by Paul Erdős.

The puzzle poses a deceptively simple question that boils down to: How many pairs of dots on a piece of paper can be the same ...

The computer scientist Erik Demaine and his artist and computer scientist father, Martin Demaine, have been pushing the limits of paper folding for years. Their intricate origami sculptures are part ...

Geometry may come from navigation skills shared with animals, while human language allows those spatial abilities to become ...

Google updated its search engine and Lens tool with new features to help you visualize and solve problems in more difficult subjects like geometry, physics, trigonometry and calculus. The update ...