|
Search: id:A084826
|
|
|
| A084826 |
|
Best packing of m>1 equal spheres in a cube setting a new density record. |
|
+0
3
|
| |
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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 this_sequence A118944 A132988 A114956
Adjacent sequences: A084823 A084824 A084825 this_sequence A084827 A084828 A084829
|
|
KEYWORD
|
hard,more,nonn
|
|
AUTHOR
|
Hugo Pfoertner (hugo(AT)pfoertner.org), Jun 12 2003
|
|
|
Search completed in 0.002 seconds
|
