cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A378974 Decimal expansion of the volume of a triakis icosahedron with unit shorter edge length.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Dec 14 2024

Keywords

Comments

The triakis icosahedron is the dual polyhedron of the truncated dodecahedron.

Examples

			12.017220926874316513329814423376647765182009668737...
		

Crossrefs

Cf. A378973 (surface area), A378975 (inradius), A378976 (midradius), A378977 (dihedral angle).
Cf. A377695 (volume of a truncated dodecahedron with unit edge length).
Cf. A002163.

Programs

  • Mathematica
    First[RealDigits[(19 + 13*Sqrt[5])/4, 10, 100]] (* or *)
    First[RealDigits[PolyhedronData["TriakisIcosahedron", "Volume"], 10, 100]]

Formula

Equals (19 + 13*sqrt(5))/4 = (19 + 13*A002163)/4.