Tetrahedron stacking, illustrated below, is a spherical close packing that is identical to cannonball stacking. It neither dominates nor is dominated by two-dimensional k-graphing or s-graphing (discussed in my Feb 1995 Word ways article).
"A Note on 3-Dimensional Graphs,"
Word Ways: Vol. 28
, Article 5.
Available at: http://digitalcommons.butler.edu/wordways/vol28/iss3/5