Circle packing theorem

The Circle Packing Theorem states that any simple, finite region in a plane can be filled with circles of varying sizes in such a way that no circles overlap and every point in the region is covered by at least one circle. This theorem demonstrates the efficiency of packing shapes in a given space. While it is often discussed in mathematics and geometry, its implications can be seen in fields like computer graphics, engineering, and materials science, where efficient use of space is crucial. Essentially, it reveals the potential for optimal arrangement within a defined area.