Imagine placing oranges or tennis balls into a rigid container. How can the balls be arranged such that they occupy the largest volume fraction of the container, otherwise known as the largest packing ...

Mathematical modelling and optimisation in packing problems constitute a critical research area that combines advanced algorithms, rigorous analytical formulations, and practical applications. This ...

Artificial intelligence has formally verified the prizewinning proof that solved the sphere packing problem in eight dimensions, a result closely tied to Maryna Viazovska’s Fields Medal. The ...