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%I #15 May 21 2018 11:03:26
%S 1,3,8,5,6,4,0,6,4,6,0,5,5,1,0,1,8,3,4,8,2,1,9,5,7,0,7,3,2,0,4,6,9,7,
%T 8,9,3,5,5,4,2,4,4,2,0,3,0,4,8,3,0,4,5,0,2,4,4,4,6,4,5,5,8,3,5,6,1,5,
%U 4,6,4,1,3,5,2,7,0,4,0,0,2,9,6,6,4,9,1,6,9,4,9,4,0,5,7,9,8,8,6,0,5,4,0,5,0
%N Decimal expansion of sqrt(192).
%C Bezdek asks: if the Euclidean 3-space is partitioned into convex cells each containing a unit ball, how should the shapes of the cells be designed to minimize the average surface area of the cells? He proves that the average surface area in question is always at least sqrt(192).
%H Karoly Bezdek, <a href="http://arxiv.org/abs/1111.3092">On a strong version of the Kepler conjecture</a>, arXiv:1111.3092v1 [math.MG], Nov 14, 2011.
%e 13.856406460551018348219570732046978935542442030483045024446455835615.... = 8*A002194.
%t RealDigits[Sqrt[192],10,120][[1]] (* _Harvey P. Dale_, May 21 2018 *)
%o (PARI) sqrt(192) \\ _Charles R Greathouse IV_, Nov 14 2011
%K nonn,easy,cons
%O 2,2
%A _Jonathan Vos Post_, Nov 14 2011
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