OFFSET
1,1
COMMENTS
The cube root of 486 arises in Bezdek's proof on contact numbers for congruent sphere packings.
REFERENCES
C. A. Rogers, Packing and Covering, Camb. Univ. Press, 1964.
LINKS
K. Bezdek, On a stronger form of Rogers' lemma and the minimum surface area of Voronoi cells in unit ball packings, J. reine angew. Math. 518 (2000), 131-143.
K. Bezdek, On the maximum number of touching pairs in a finite packing of translates of a convex body, J. Combin. Theory Ser. A 98/1 (2002), 192-200.
Karoly Bezdek, Contact numbers for congruent sphere packings, arXiv:1102.1198 [math.MG], 2011.
H. Harborth, Losung zu Problem 664A, Elem. Math. 29 (1974), 14-15.
G. A. Kabatiansky and V. I. Levenshtein, Bounds for packings on a sphere and in space, Problemy Peredachi Informatsii 14 (1978), 3-25.
G. Kuperberg and O. Schramm, Average kissing numbers for noncongruent sphere packings, Math. Res. Lett. 1/3 (1994), 339-344.
EXAMPLE
7.86222418262668982142498384132598881...
MATHEMATICA
RealDigits[Surd[486, 3], 10, 120][[1]] (* Harvey P. Dale, Jul 06 2017 *)
PROG
(PARI) sqrtn(486, 3) \\ Charles R Greathouse IV, Apr 25 2016
CROSSREFS
KEYWORD
AUTHOR
Jonathan Vos Post, Feb 08 2011
STATUS
approved