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A084826 Best packing of m>1 equal spheres in a cube setting a new density record. 2
2, 3, 4, 6, 7, 8, 31, 32 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The terms 31, 32 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

Hugo Pfoertner, Best packing of equal spheres in a cube. Numerical results.

Dave Boll, Packing Spheres in cubes

CROSSREFS

Cf. A084824, A084829, A051657.

Sequence in context: A091421 A138936 A135604 * A118944 A132988 A114956

Adjacent sequences:  A084823 A084824 A084825 * A084827 A084828 A084829

KEYWORD

hard,more,nonn

AUTHOR

Hugo Pfoertner (hugo(AT)pfoertner.org), Jun 12 2003

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Last modified February 14 17:27 EST 2012. Contains 205644 sequences.