OFFSET
1,1
COMMENTS
The terms >=31 are only conjectures found by numerical experimentation. In the table given at the Pfoertner link, the densities are given relative to the density of the cubic lattice packing (Pi/6). The first known arrangement with higher density than that of the cubic lattice packing was found for m=31 spheres. In the region 8<m<27 increasing packing densities occur for m=9,13,14. m=14 comes very close (0.994949) to the cubic lattice packing density.
REFERENCES
See under A084824.
LINKS
Dave Boll, Packing spheres in cubes
Hugo Pfoertner, Best packing of equal spheres in a cube. Numerical results.
Hugo Pfoertner, Densest packing of 32 spheres in a cube. Video.
Hugo Pfoertner, Densest packing of 48 spheres in a cube. Video.
Hugo Pfoertner, Densest packing of 63 spheres in a cube. Video.
CROSSREFS
KEYWORD
hard,more,nonn
AUTHOR
Hugo Pfoertner, Jun 12 2003
EXTENSIONS
More terms from Hugo Pfoertner, Oct 03 2015
STATUS
approved