of the supply collection. If the supply collection consists of convex bodies of bounded diameter, there exists a packing whose packing density is equal to the packing constant, and this packing constant does not vary if the balls in the definition of density are replaced by dilations of some other convex body.

A particular supply collection of interest is all Euclidean motions of a fixed convex body . In this case, we call the packing constant the packing constant of . The Kepler conjecture