Generalisations can be made to higher dimensions - this is called sphere packing, which usually deals only with identical spheres.
His major contributions are in the fields of combinatorics, error-correcting codes, and sphere packing.
Because these spheres therefore must not intersect, we are faced with the problem of sphere packing.
Both triangular bicupolae are important in sphere packing.
They are the densest known sphere packings in three dimensions, and are believed to be optimal.
In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space.
There are other, subtler relationships between Euclidean sphere packing and error-correcting codes.
Its 120 vertices represent the kissing number of the related hyperbolic 10-dimensional sphere packing.
The dodecahedral conjecture in geometry is intimately related to sphere packing.
His most important contributions to sphere packing have been clever ideas about spaces of 8 and 24 dimensions, realms where the mind truly boggles.
