![]() The proportion of space filled by the spheres is called the density of the arrangement. ![]() However, sphere packing problems can be generalised to consider unequal spheres, spaces of other dimensions (where the problem becomes circle packing in two dimensions, or hypersphere packing in higher dimensions) or to non-Euclidean spaces such as hyperbolic space.Ī typical sphere packing problem is to find an arrangement in which the spheres fill as much of the space as possible. The spheres considered are usually all of identical size, and the space is usually three- dimensional Euclidean space. ![]() In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. ![]() Sphere packing finds practical application in the stacking of cannonballs
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