A379708 Decimal expansion of the surface area of a disdyakis triacontahedron with unit shorter edge length.

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

Offset

2,1

Comments

The disdyakis triacontahedron is the dual polyhedron of the truncated icosidodecahedron (great rhombicosidodecahedron).

Links

Paolo Xausa, Table of n, a(n) for n = 2..10000

Eric Weisstein's World of Mathematics, Disdyakis Triacontahedron.

Wikipedia, Disdyakis triacontahedron.

Formula

Equals sqrt(22626/5 + 9738/sqrt(5)) = sqrt(22626/5 + 9738/A002163).

Example

94.234632662193735601503506520549159874997310453708...

Mathematica

First[RealDigits[Sqrt[22626/5 + 9738/Sqrt[5]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["DisdyakisTriacontahedron", "SurfaceArea"], 10, 100]]

Crossrefs

Cf. A379709 (volume), A379710 (inradius), A379388 (midradius), A379711 (dihedral angle).

Cf. A377796 (surface area of a truncated icosidodecahedron (great rhombicosidodecahedron) with unit edge length).

Cf. A002163.

Sequence in context: A362943 A011313 A319530 * A318410 A245298 A122952

Adjacent sequences: A379705 A379706 A379707 * A379709 A379710 A379711

Keyword

nonn,cons,easy

Author

Paolo Xausa, Dec 31 2024

Status

approved