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A378352
Decimal expansion of the volume of a (small) triakis octahedron with unit shorter edge length.
0
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, 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, 3, 2, 4, 7, 8, 4, 6, 2, 1, 0, 7, 0, 3, 8, 8, 5, 0, 3, 8, 7, 5, 3
OFFSET
1,1
COMMENTS
The (small) triakis octahedron is the dual polyhedron of the truncated cube.
LINKS
Eric Weisstein's World of Mathematics, Small Triakis Octahedron.
Wikipedia, Triakis octahedron.
FORMULA
Equals sqrt(2) + 3/2 = A002193 + 3/2.
Equals A156035/2. - Hugo Pfoertner, Nov 24 2024
EXAMPLE
2.9142135623730950488016887242096980785696718753769...
MATHEMATICA
First[RealDigits[Sqrt[2] + 3/2, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TriakisOctahedron", "Volume"], 10, 100]]
CROSSREFS
Cf. A378351 (surface area), A378353 (inradius), A201488 (midradius), A378354 (dihedral angle).
Cf. A377299 (volume of a truncated cube with unit edge).
Cf. A156035.
Essentially the same as A002193 and A188582.
Sequence in context: A190142 A173995 A272868 * A074950 A346170 A113211
KEYWORD
nonn,cons,easy,new
AUTHOR
Paolo Xausa, Nov 23 2024
STATUS
approved