Circle Packing - Packings On The Sphere

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:

    O sun,
    Burn the great sphere thou mov’st in! darkling stand
    The varying shore o’ th’ world!
    William Shakespeare (1564–1616)