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URL: https://oeis.org/A389490

⇱ A389490 - OEIS


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A389490
Decimal expansion of the largest dihedral angle, in radians, in a biaugmented triangular prism (Johnson solid J_50).
1
2, 9, 5, 7, 8, 3, 0, 7, 8, 7, 4, 4, 5, 6, 1, 6, 3, 0, 2, 4, 8, 1, 9, 2, 8, 6, 6, 6, 1, 2, 4, 6, 8, 3, 1, 3, 6, 5, 5, 2, 5, 5, 2, 5, 2, 3, 1, 4, 5, 0, 4, 6, 2, 5, 5, 5, 7, 7, 7, 1, 1, 1, 2, 2, 7, 4, 6, 4, 2, 9, 5, 6, 0, 5, 7, 0, 0, 2, 2, 5, 7, 6, 9, 8, 4, 1, 2, 8, 1, 4
OFFSET
1,1
COMMENTS
This is the dihedral angle between the two adjacent triangular faces at the edge where the two pyramid parts of the solid meet.
Also the analogous dihedral angle in a triaugmented triangular prism (Johnson solid J_51).
FORMULA
Equals Pi/3 + arccos(-1/3) = A019670 + A156546.
EXAMPLE
2.9578307874456163024819286661246831365525525231450...
MATHEMATICA
First[RealDigits[Pi/3 + ArcCos[-1/3], 10, 100]] (* or *)
First[RealDigits[Max[PolyhedronData["J50", "DihedralAngles"]], 10, 100]]
CROSSREFS
Cf. other J_50 dihedral angles: A019669, A156546, A195702, A387670.
Cf. A385505 (J_50 volume), A384141 (J_50 surface area + 4).
Cf. A019670.
Sequence in context: A375509 A373495 A339925 * A171052 A389041 A021342
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Oct 07 2025
STATUS
approved