A377343 Decimal expansion of the surface area of a truncated cuboctahedron (great rhombicuboctahedron) with unit edge length.

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

Offset

2,1

Links

Table of n, a(n) for n=2..91.

Polytope Wiki, Great rhombicuboctahedron.

Eric Weisstein's World of Mathematics, Great Rhombicuboctahedron.

Wikipedia, Truncated cuboctahedron.

Index entries for algebraic numbers, degree 4.

Formula

Equals 12*(2 + sqrt(2) + sqrt(3)) = 12*(2 + A135611).

Minimal polynomial: x^4 - 96*x^3 + 2016*x^2 + 13824*x - 476928. - Amiram Eldar, Jun 10 2026

Example

61.7551724393036681079496207885868453461497255502...

Mathematica

First[RealDigits[12*(2 + Sqrt[2] + Sqrt[3]), 10, 100]]
(* Alternative: *)
First[RealDigits[PolyhedronData["TruncatedCuboctahedron", "SurfaceArea"], 10, 100]]

Crossrefs

Cf. A377344 (volume), A377345 (circumradius), A377346 (midradius).

Cf. A343199 (analogous for a cuboctahedron).

Cf. A135611.

Sequence in context: A260632 A330062 A198420 * A110942 A274014 A334962

Adjacent sequences: A377340 A377341 A377342 * A377344 A377345 A377346

Keyword

nonn,cons,easy

Author

Paolo Xausa, Oct 26 2024

Status

approved