Solving olympiad geometry without human demonstrations. (https://www.nature.com/articles/s41586-023-06747-5)

These scientists wanted to find a way for computers to solve really difficult math problems, specifically in geometry. They noticed that current computer programs couldn't solve these problems because it was hard to teach them how to understand human math proofs. So, the scientists came up with a new program called AlphaGeometry.

AlphaGeometry is a special computer program that can solve geometry problems without needing any help from humans. It does this by creating its own math theorems and proofs. It has a special part called a neural language model that helps it understand and think like a human when it's solving the problems.

The scientists tested AlphaGeometry by giving it 30 really hard math problems. And guess what? AlphaGeometry solved 25 of them! This was better than any other program before it. It even solved all the geometry problems from two big math competitions. And the best part is that AlphaGeometry can explain how it solved the problems in a way that humans can understand.

So, these scientists have made a big breakthrough in using computers to solve really tough math problems. They hope that this will help us learn more about math and maybe even help us solve other challenging problems in the future.

Trinh TH., Wu Y., Le QV., He H., Luong T. Solving olympiad geometry without human demonstrations. Nature. 2024 Jan;625(7995):476-482. doi: 10.1038/s41586-023-06747-5. Epub 2024 Jan 17.