Lattice packing theorem

The Lattice Packing Theorem states that the most efficient way to arrange equal-sized spheres (like oranges) in a space without overlaps is by placing their centers at the points of a regular, repeating grid called a lattice. This arrangement maximizes the proportion of space filled and applies to higher dimensions as well. Essentially, it shows that, for identical objects, a structured, grid-like pattern provides the densest packing, balancing organization and space utilization optimally.