Sam Raskin has wrapped his head around a math problem so complex it took five academic studies — and more than 900 pages — to solve. The results are a sweeping, game-changing math proof that was ...

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 ...

Time to test your brain! Are you a puzzle person? Most of these hard math problems aren’t straightforward arithmetic. They challenge you to look at problems a different way, testing your logic and ...

Three mathematicians show, for the first time, how to form a square with the same area as a circle by cutting them into interchangeable pieces that can be visualized. Around 450 BCE, Anaxagoras of ...

OpenAI Group PBC today launched GPT-5.2, its newest and most capable large language model. The LLM is available in three versions: Instant, Thinking and Pro. OpenAI says that the latter two editions ...