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A084829 Best packing of m>1 equal spheres in a sphere setting a new density record. +0
4
2, 3, 4, 6, 8, 9, 11, 12, 18, 21, 25, 31, 32 (list; graph; listen)
OFFSET

1,1

COMMENT

All terms beyond m=9 are only conjectures found by numerical experimentation. The density is defined as the fraction of the volume of the large sphere occupied by the small spheres. For 2 spheres the density is 0.25. The first known configuration with density exceeding 0.5 occurs for 31 spheres.

LINKS

Dave Boll, Optimal Packing Of Circles And Spheres

Hugo Pfoertner, Numerical results for best packing of spheres in sphere.

Eric Weisstein's World of Mathematics, World of Mathematics: Sphere Packing.

CROSSREFS

Cf. A084827, A084826, A084644.

Sequence in context: A020900 A002479 A010458 this_sequence A018649 A135676 A102701

Adjacent sequences: A084826 A084827 A084828 this_sequence A084830 A084831 A084832

KEYWORD

hard,more,nonn

AUTHOR

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

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.


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