A084826 Best packing of m>1 equal spheres in a cube setting a new density record.

2, 3, 4, 6, 7, 8, 31, 32, 48, 60, 61, 62, 63

Offset: 1

Author

Hugo Pfoertner, Jun 12 2003

Keywords

• hard
• more
• nonn

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

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

Cf. A084824, A084829, A051657.

Extensions

More terms from Hugo Pfoertner, Oct 03 2015

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