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A379711
Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a disdyakis triacontahedron.
9
2, 8, 7, 7, 8, 3, 6, 6, 1, 0, 4, 6, 1, 2, 2, 4, 2, 8, 0, 9, 4, 3, 4, 5, 0, 4, 5, 4, 8, 1, 7, 9, 9, 1, 7, 7, 5, 4, 7, 4, 9, 4, 2, 8, 6, 6, 5, 4, 0, 6, 4, 7, 0, 3, 4, 5, 6, 8, 2, 6, 3, 2, 1, 6, 9, 8, 3, 8, 3, 1, 7, 6, 7, 0, 9, 4, 3, 8, 4, 5, 9, 9, 1, 5, 6, 6, 8, 4, 9, 7
OFFSET
1,1
COMMENTS
The disdyakis triacontahedron is the dual polyhedron of the truncated icosidodecahedron (great rhombicosidodecahedron).
LINKS
Eric Weisstein's World of Mathematics, Disdyakis Triacontahedron.
FORMULA
Equals arccos((-179 - 24*sqrt(5))/241) = arccos((-179 - 24*A002163)/241).
EXAMPLE
2.8778366104612242809434504548179917754749428665406...
MATHEMATICA
First[RealDigits[ArcCos[(-179 - 24*Sqrt[5])/241], 10, 100]] (* or *)
First[RealDigits[First[PolyhedronData["DisdyakisTriacontahedron", "DihedralAngles"]], 10, 100]]
CROSSREFS
Cf. A379708 (surface area), A379709 (volume), A379710 (inradius), A379388 (midradius).
Cf. A344075, A377995 and A377996 (dihedral angles of a truncated icosidodecahedron (great rhombicosidodecahedron)).
Cf. A002163.
Sequence in context: A083679 A213930 A319463 * A079031 A203145 A303498
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Dec 31 2024
STATUS
approved