Packings On The Sphere
A related problem is to determine the lowest-energy arrangement of identically interacting points that are constrained to lie within a given surface. The Thomson problem deals with the lowest energy distribution of identical electric charges on the surface of a sphere. The Tammes problem is a generalisation of this, dealing with maximising the minimum distance between circles on sphere. This is analogous to distributing non-point charges on a sphere.
Read more about this topic: Circle Packing
Famous quotes containing the word sphere:
“If today there is a proper American sphere of influence it is this fragile sphere called earth upon which all men live and share a common fatea sphere where our influence must be for peace and justice.”
—Hubert H. Humphrey (19111978)