![]() ![]() The related circle packing problem deals with packing circles, possibly of different sizes, on a surface, for instance the plane or a sphere. These problems are mathematically distinct from the ideas in the circle packing theorem. The hexagonal packing of circles on a 2-dimensional Euclidean plane. Many other shapes have received attention, including ellipsoids, Platonic and Archimedean solids including tetrahedra, and unequal-sphere dimers. The Kepler conjecture postulated an optimal solution for packing spheres hundreds of years before it was proven correct by Thomas Callister Hales. This problem is relevant to a number of scientific disciplines, and has received significant attention. Many of these problems, when the container size is increased in all directions, become equivalent to the problem of packing objects as densely as possible in infinite Euclidean space.
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