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A377995
Decimal expansion of the dihedral angle, in radians, between square and pentagonal faces in a (small) rhombicosidodecahedron.
1
2, 5, 8, 8, 0, 1, 8, 2, 9, 4, 6, 9, 2, 7, 4, 7, 9, 8, 6, 9, 5, 4, 1, 1, 0, 6, 5, 3, 1, 9, 0, 2, 3, 4, 3, 6, 4, 1, 6, 2, 1, 4, 5, 5, 7, 6, 6, 7, 4, 3, 8, 9, 4, 9, 7, 6, 3, 6, 6, 7, 4, 9, 8, 8, 5, 9, 0, 9, 6, 1, 2, 3, 6, 7, 9, 7, 5, 2, 7, 6, 0, 1, 6, 2, 1, 3, 2, 6, 2, 6
OFFSET
1,1
COMMENTS
Also the dihedral angle, in radians, between square and 10-gonal faces in a truncated icosidodecahedron (great rhombicosidodecahedron).
LINKS
Eric Weisstein's World of Mathematics, Great Rhombicosidodecahedron.
Eric Weisstein's World of Mathematics, Small Rhombicosidodecahedron.
FORMULA
Equals arccos(-sqrt((5 + sqrt(5))/10)) = arccos(-sqrt(A242671)).
EXAMPLE
2.588018294692747986954110653190234364162145576674...
MATHEMATICA
First[RealDigits[ArcCos[-Sqrt[(5 + Sqrt[5])/10]], 10, 100]] (* or *)
First[RealDigits[Min[PolyhedronData["Rhombicosidodecahedron", "DihedralAngles"]], 10, 100]]
CROSSREFS
Sequence in context: A138371 A140053 A346180 * A103311 A019824 A284868
KEYWORD
nonn,cons,easy,new
AUTHOR
Paolo Xausa, Nov 15 2024
STATUS
approved