A380702 Decimal expansion of the acute vertex angles, in radians, in a (small) triakis octahedron face.
5, 4, 8, 0, 2, 8, 4, 0, 7, 6, 2, 0, 3, 1, 2, 7, 4, 4, 5, 3, 0, 8, 6, 3, 2, 8, 2, 8, 2, 0, 6, 2, 8, 6, 7, 8, 4, 7, 9, 7, 1, 2, 3, 6, 3, 6, 5, 9, 2, 0, 4, 3, 1, 6, 9, 9, 5, 5, 4, 8, 4, 3, 8, 8, 6, 0, 3, 3, 9, 4, 3, 5, 5, 4, 6, 4, 8, 5, 4, 5, 5, 3, 8, 9, 9, 3, 5, 3, 1, 5
Offset: 0
Examples
0.54802840762031274453086328282062867847971236365920...
Links
- Paolo Xausa, Table of n, a(n) for n = 0..10000
- Wikipedia, Triakis octahedron.
Crossrefs
Programs
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Mathematica
First[RealDigits[ArcCos[1/2 + Sqrt[2]/4], 10, 100]]
Formula
Equals arccos(1/2 + sqrt(2)/4) = arccos(1/2 + A020765).
Equals (Pi - A380703)/2.
Equals A361601/2. - Hugo Pfoertner, Jan 30 2025