%I #17 Jun 25 2023 01:56:29
%S 3,1,6,9,8,7,2,9,8,1,0,7,7,8,0,6,7,6,6,1,8,1,3,8,4,1,4,6,2,3,5,3,1,9,
%T 0,8,2,6,4,2,9,8,6,8,6,5,4,7,4,0,4,8,4,2,9,8,6,0,4,8,2,5,5,1,3,7,0,1,
%U 6,7,4,5,7,7,2,7,9,9,9,9,0,7,2,9,7,1,3
%N Decimal expansion of (3 - sqrt(3))/4.
%C Consider the optimal packing of 2 identical spheres in a cube of edge length 1. The radius of both spheres is (3 - sqrt(3))/4 = 0.3169872....
%H Packomania, <a href="http://hydra.nat.uni-magdeburg.de/packing/scu/scu.html">The best known packings of equal spheres in a cube</a>.
%H Stack Exchange, <a href="https://math.stackexchange.com/questions/3347006/two-sphere-inside-a-cube">Two Sphere [sic] inside a cube</a>.
%e 0.3169872981077806766181384146235...
%t RealDigits[(3 - Sqrt[3])/4, 10, 120][[1]] (* _Amiram Eldar_, Jun 25 2023 *)
%Y Cf. A334843 (their diameter).
%K nonn,cons
%O 0,1
%A _Jodi Spitz_, Apr 29 2023
|