A378352 - OEIS

%I #8 Dec 02 2024 06:09:40

%S 2,9,1,4,2,1,3,5,6,2,3,7,3,0,9,5,0,4,8,8,0,1,6,8,8,7,2,4,2,0,9,6,9,8,

%T 0,7,8,5,6,9,6,7,1,8,7,5,3,7,6,9,4,8,0,7,3,1,7,6,6,7,9,7,3,7,9,9,0,7,

%U 3,2,4,7,8,4,6,2,1,0,7,0,3,8,8,5,0,3,8,7,5,3

%N Decimal expansion of the volume of a (small) triakis octahedron with unit shorter edge length.

%C The (small) triakis octahedron is the dual polyhedron of the truncated cube.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SmallTriakisOctahedron.html">Small Triakis Octahedron</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Triakis_octahedron">Triakis octahedron</a>.

%F Equals sqrt(2) + 3/2 = A002193  + 3/2.

%F Equals A156035/2. - _Hugo Pfoertner_, Nov 24 2024

%e 2.9142135623730950488016887242096980785696718753769...

%t First[RealDigits[Sqrt[2] + 3/2, 10, 100]] (* or *)

%t First[RealDigits[PolyhedronData["TriakisOctahedron", "Volume"], 10, 100]]

%Y Cf. A378351 (surface area), A378353 (inradius), A201488 (midradius), A378354 (dihedral angle).

%Y Cf. A377299 (volume of a truncated cube with unit edge).

%Y Cf. A156035.

%Y Essentially the same as A002193 and A188582.

%K nonn,cons,easy

%O 1,1

%A _Paolo Xausa_, Nov 23 2024