OFFSET
0,1
COMMENTS
Conjectured to be density of densest packing of equal spheres in six dimensions (achieved for example by the E_6 lattice).
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer, 3rd. ed., 1998. See p. xix.
LINKS
J. H. Conway and N. J. A. Sloane, What are all the best sphere packings in low dimensions?, Discr. Comp. Geom., 13 (1995), 383-403.
G. Nebe and N. J. A. Sloane, Home page for E_6 lattice.
N. J. A. Sloane and Andrey Zabolotskiy, Table of maximal density of a packing of equal spheres in n-dimensional Euclidean space (some values are only conjectural).
EXAMPLE
0.3729475455820649395634775586799581063936647972683873631...
MATHEMATICA
RealDigits[Sqrt[3]*Pi^3/144, 10, 120][[1]] (* Amiram Eldar, Jun 28 2023 *)
PROG
(PARI) Pi^3*sqrt(3)/144 \\ Charles R Greathouse IV, Oct 31 2014
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Feb 10 2013
STATUS
approved