Have you ever wondered about the best way to pack a finite number of identical spheres into a shape-shifting flexible container, like a convex hull? An intuitively simple problem concerning the best ...

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 ...

The surprising real-world applications of high-dimensional sphere packing and the 48-year-old barrier that OpenAI just broke ...

Sphere packing and crystallization involve the study of how identical particles arrange themselves in space under pairwise interactions, with sphere packing focusing on the densest arrangement of ...