Maximally Dense Sphere Packings

Explore the fascinating world of maximally dense sphere packings in this engaging lecture from the Workshop on the Geometry of Circle Packings. Delve into the well-known problem of covering the greatest proportion of the Euclidean plane with identical disks and discover how this concept can be generalized to higher dimensions and different disk sizes. Learn about the triangular grid solution for identical disks and the Kepler's conjecture in three dimensions. Focus on recent developments in packing with two or three disc sizes, gaining insights into this complex geometric problem suitable for a broad audience.