Geometric packing problems involve arranging objects of given shapes within a confined region so as to maximise density, minimise wasted space or satisfy prescribed distance and balance constraints.

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 ...

Geometric flows provide powerful tools to deform the metric of a Riemannian manifold in a manner dictated by its curvature, offering a pathway to understand topology, shape optimisation and ...

Google’s (GOOGL) AI unit, Google DeepMind, is advancing its mathematical capabilities amid rising competition from OpenAI’s SearchGPT search engine. On Thursday, Google unveiled two new tools: ...

The International Mathematical Olympiad (IMO) is probably the most prestigious competition for preuniversity students. Every year students from around the world compete for its coveted bronze, silver ...