A179450 Decimal expansion of the volume of an icosidodecahedron with edge length 1.

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

Offset

2,2

Comments

Icosidodecahedron: 32 faces, 30 vertices, and 60 edges.

Also the volume of a pentagonal orthobirotunda (Johnson solid J_34) with unit edges. - Paolo Xausa, Oct 03 2025

Links

Table of n, a(n) for n=2..106.

Polytope Wiki, Icosidodecahedron.

Eric Weisstein's World of Mathematics, Icosidodecahedron.

Wikipedia, Icosidodecahedron.

Index entries for algebraic numbers, degree 2.

Formula

Equals (45 + 17*sqrt(5))/6.

Minimal polynomial: 9*x^2 - 135*x + 145. - Amiram Eldar, May 25 2026

Example

13.83552593624940413982599206140528266708175201889932288543420886199647...

Mathematica

RealDigits[N[(45+17*Sqrt[5])/6, 200]]

Prog

(PARI) (45 + 17*sqrt(5))/6 \\ Charles R Greathouse IV, Oct 30 2023

Crossrefs

Cf. A010527, A102208, A179290, A179292, A179294, A179449, A179451.

Sequence in context: A334503 A015136 A396271 * A333287 A360199 A360851

Adjacent sequences: A179447 A179448 A179449 * A179451 A179452 A179453

Keyword

nonn,cons,easy

Author

Vladimir Joseph Stephan Orlovsky, Jul 14 2010

Extensions

Partially rewritten by Charles R Greathouse IV, Feb 03 2011

Status

approved