OFFSET
1,2
COMMENTS
This is the dihedral angle between a triangular face and a square face at the edge where the cupola and rotunda parts of the solid meet.
Also a dihedral angle in a bilunabirotunda and triangular hebesphenorotunda (Johnson solids J_91 and J_92, respectively).
LINKS
Paolo Xausa, Table of n, a(n) for n = 1..10000
Polytope Wiki, Bilunabirotunda.
Polytope Wiki, Pentagonal orthocupolarotunda.
Polytope Wiki, Triangular hebesphenorotunda.
Wikipedia Bilunabirotunda.
Wikipedia Pentagonal orthocupolarotunda.
Wikipedia Triangular hebesphenorotunda.
EXAMPLE
1.9356601549083798009587200215464117897968376567114...
MATHEMATICA
First[RealDigits[ArcCos[(Sqrt[3] - Sqrt[15])/6], 10, 100]] (* or *)
First[RealDigits[RankedMin[Union[PolyhedronData["J32", "DihedralAngles"]], 2], 10, 100]]
CROSSREFS
KEYWORD
AUTHOR
Paolo Xausa, Sep 29 2025
STATUS
approved
