An AI from Google DeepMind can solve some International Mathematical Olympiad (IMO) questions on geometry almost as well as the best human contestants. How does ChatGPT work and do AI-powered chatbots ...

OK, I have a triangle with vertices at points A, B and C. The distance from A to B is 78.23'. BC distance is 30.90'. The angle between these two sides, ABC, is 143 degrees. What is the distance AC?

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 ...

An artificial-intelligence (AI) tool can rigorously prove whether geometric facts — statements about two-dimensional shapes such as triangles or polygons — are true, just as well as competitors in the ...

After cracking an unsolvable mathematics problem last year, AI is back to tackle geometry. Developed by Google DeepMind, a new algorithm, AlphaGeometry, can crush problems from past International ...

The International Mathematical Olympiad (IMO) is a prestigious competition featuring talented high school students from around the world, in which competitors solve complicated mathematical problems.