A343966 Decimal expansion of (4/3)*(4*sqrt(2)-5).

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

Offset

0,1

Comments

The optimal packing fraction of a rhombicuboctahedron is (4/3)*(4*sqrt(2)-5).

Links

Table of n, a(n) for n=0..100.

Polytope Wiki, Small rhombicuboctahedron.

Eric Weisstein's World of Mathematics, Small Rhombicuboctahedron.

Wikipedia, Rhombicuboctahedron.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 9*x^2 + 120*x - 112. - Amiram Eldar, Jun 05 2026

Example

0.87580566598984026027567319578505641903825...

Mathematica

RealDigits[N[(4/3)*(4*Sqrt[2] - 5), 100]][[1]] (* Wesley Ivan Hurt, Nov 12 2022 *)

Prog

(Magma) SetDefaultRealField(RealField(100)); (4/3)*(4*Sqrt(2)-5);
(PARI) 4/3*(4*sqrt(2)-5) \\ Charles R Greathouse IV, May 19 2026

Crossrefs

Cf. A343964 (rhombicuboctahedron surface area).

Cf. A343965 (rhombicuboctahedron volume).

Sequence in context: A182527 A388324 A388603 * A195846 A388833 A201666

Adjacent sequences: A343963 A343964 A343965 * A343967 A343968 A343969

Keyword

nonn,cons

Author

Wesley Ivan Hurt, May 05 2021

Status

approved