%I #13 Nov 12 2022 20:35:46
%S 8,7,5,8,0,5,6,6,5,9,8,9,8,4,0,2,6,0,2,7,5,6,7,3,1,9,5,7,8,5,0,5,6,4,
%T 1,9,0,3,8,2,5,0,0,0,2,0,1,0,3,8,9,7,2,3,6,0,8,9,5,8,6,0,2,6,1,7,2,3,
%U 9,8,8,5,1,3,1,2,3,7,5,4,0,5,3,5,4,0,0,1,8,3,0,8,0,7,5,5,0,5,4,5,8
%N Decimal expansion of (4/3)*(4*sqrt(2)-5).
%C The optimal packing fraction of a rhombicuboctahedron is (4/3)*(4*sqrt(2)-5).
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Rhombicuboctahedron">Rhombicuboctahedron</a>
%e 0.87580566598984026027567319578505641903825...
%t RealDigits[N[(4/3)*(4*Sqrt[2] - 5), 100]][[1]] (* _Wesley Ivan Hurt_, Nov 12 2022 *)
%o (Magma) SetDefaultRealField(RealField(100)); (4/3)*(4*Sqrt(2)-5);
%Y Cf. A343964 (rhombicuboctahedron surface area).
%Y Cf. A343965 (rhombicuboctahedron volume).
%K nonn,cons
%O 0,1
%A _Wesley Ivan Hurt_, May 05 2021