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 ...

In 2016, a mathematician quietly solved a problem that had remained open since the time of Isaac Newton and Johannes Kepler. Her name is Maryna Viazovska. The problem is known as the sphere packing ...

Efficient utilization of materials in industrial processes is a significant challenge, particularly in furniture manufacturing, sheet metal cutting, and other sectors requiring precise material ...

MIT researchers utilize a diffusion model, a type of generative AI, to efficiently tackle the robot packing problem, considering multiple constraints simultaneously. The new method, Diffusion-CCSP, ...