[Easy Explanation]Solving olympiad geometry without human demonstrations

The researchers have created a computer program called AlphaGeometry that can solve really hard math problems, specifically those related to geometry, without needing any help from humans. Traditional methods involve teaching machines using human-made proofs, but it's expensive and especially challenging for geometry problems. AlphaGeometry does things differently. It makes its own theorems (math statements) and proofs (reasoning for why the theorems are true) without human input. It's like a computer brain that generates and solves geometry problems on its own. When tested on a set of difficult math problems similar to those in international math competitions (like the Olympiad), AlphaGeometry outperformed other methods. It solved 25 out of 30 problems, doing better than the previous best method that only solved 10. In fact, it even performed close to the level of a really good human math competitor who wins a gold medal at the International Mathematical Olympiad. What's cool is that AlphaGeometry doesn't just spit out answers. It explains its reasoning in a way that humans can understand. It also tackled and solved problems from past math competitions and even discovered a new version of a problem from a competition in 2004.