Packings

Packings refer to the arrangement of objects within a space, aiming to optimize space usage without overlapping while maximizing certain criteria like density or efficiency. For example, packing could involve stacking boxes in a warehouse, arranging circles on a surface, or organizing data in memory. The study of packings helps improve designs in logistics, manufacturing, and materials science by identifying the most compact or efficient ways to fill spaces with minimal gaps. It involves mathematical principles to find stable, optimal configurations suited for different shapes and contexts.