Some aesthetically pleasing small clusters of close-packed spheres: face-centered cubic or hexagonal close packing. The numbers are spheres per layer: 3 and 6 are triangles, 4 is a square, 7 is a hexagon.
1-3
1-3-6 (fcc)
3-3
1-3-1 (hcp)
1-4-1 (fcc), equivalent to 3-3
1-6-6-1 (fcc) (fits in cube)
7-3-7 (hcp or fcc)
3-7-3 (hcp or fcc)
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