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 ...

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 ...

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 ...

A chatbot’s result for the 80-year-old “unit distance” conjecture is the first AI proof that would likely be published in ...

Google researchers have developed an artificial intelligence (AI) math system that can out-smart gold medalists in international geometry competitions. The system, called "AlphaGeometry2" (AG2), is an ...

In this video, we solve a challenging geometry problem using pure logic, geometric reasoning, and smart observations—no trigonometric formulas required. This approach helps you build deeper ...

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the ...

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 ...