A379389 Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a deltoidal hexecontahedron.

2, 6, 8, 9, 9, 2, 5, 2, 3, 4, 2, 0, 6, 5, 7, 6, 3, 4, 0, 0, 7, 2, 8, 8, 1, 5, 1, 4, 6, 3, 1, 6, 1, 6, 8, 3, 0, 0, 3, 5, 3, 3, 0, 3, 7, 2, 4, 9, 2, 1, 1, 4, 1, 4, 3, 1, 6, 0, 1, 1, 4, 5, 0, 7, 8, 1, 7, 2, 8, 3, 1, 9, 1, 3, 5, 1, 4, 1, 4, 4, 0, 1, 8, 9, 8, 9, 6, 6, 3, 8

Offset

1,1

Comments

The deltoidal hexecontahedron is the dual polyhedron of the (small) rhombicosidodecahedron.

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Deltoidal Hexecontahedron.

Wikipedia, Deltoidal hexecontahedron.

Formula

Equals arccos(-(19 + 8*sqrt(5))/41) = arccos(-(19 + 8*A002163)/41).

Example

2.6899252342065763400728815146316168300353303724921...

Mathematica

First[RealDigits[ArcCos[-(19 + 8*Sqrt[5])/41], 10, 100]] (* or *)
First[RealDigits[First[PolyhedronData["DeltoidalHexecontahedron", "DihedralAngles"]], 10, 100]]

Crossrefs

Cf. A379385 (surface area), A379386 (volume), A379387 (inradius), A379388 (midradius).

Cf. A377995 and A377996 (dihedral angles of a (small) rhombicosidodecahedron).

Cf. A002163.

Sequence in context: A320573 A003610 A201776 * A206476 A077477 A095879

Adjacent sequences: A379386 A379387 A379388 * A379390 A379391 A379392

Keyword

nonn,cons,easy

Author

Paolo Xausa, Dec 23 2024

Status

approved