A377346 Decimal expansion of the midradius of a truncated cuboctahedron (great rhombicuboctahedron) with unit edge length.

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

Offset

1,1

Links

Table of n, a(n) for n=1..90.

Polytope Wiki, Great rhombicuboctahedron.

Eric Weisstein's World of Mathematics, Great Rhombicuboctahedron.

Wikipedia, Truncated cuboctahedron.

Index entries for algebraic numbers, degree 4.

Formula

Equals sqrt(12 + 6*sqrt(2))/2 = sqrt(12 + A010524)/2 = sqrt(3 + 3/sqrt(2)) = sqrt(3 + A230981).

Minimal polynomial: 2*x^4 - 12*x^2 + 9. - Amiram Eldar, Jun 10 2026

Example

2.26303343845371462359202580343253714222906720265...

Mathematica

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

Crossrefs

Cf. A377343 (surface area), A377344 (volume), A377345 (circumradius).

Cf. A010527 (analogous for a cuboctahedron).

Cf. A010524, A230981.

Sequence in context: A342628 A329380 A348146 * A355076 A344007 A130478

Adjacent sequences: A377343 A377344 A377345 * A377347 A377348 A377349

Keyword

nonn,cons,easy

Author

Paolo Xausa, Oct 26 2024

Status

approved