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

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

Offset

3,2

Links

Table of n, a(n) for n=3..92.

Eric Weisstein's World of Mathematics, Great Rhombicosidodecahedron.

Wikipedia, Truncated icosidodecahedron.

Formula

Equals 30*(1 + sqrt(3) + sqrt(5 + 2*sqrt(5))) = 30*(A090388 + A019970).

Example

174.292030342323920882932107526283465728485221920...

Mathematica

First[RealDigits[30*(1 + Sqrt[3] + Sqrt[5 + Sqrt[20]]), 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TruncatedIcosidodecahedron", "SurfaceArea"], 10, 100]]

Crossrefs

Cf. A377797 (volume), A377798 (circumradius), A377799 (midradius).

Cf. A090388, A019970.

Sequence in context: A019608 A245055 A335020 * A225410 A248750 A071875

Adjacent sequences: A377793 A377794 A377795 * A377797 A377798 A377799

Keyword

nonn,cons,easy

Author

Paolo Xausa, Nov 07 2024

Status

approved