A378390 Decimal expansion of the surface area of a deltoidal icositetrahedron with unit shorter edge length.

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

Offset

2,1

Comments

The deltoidal icositetrahedron is the dual polyhedron of the (small) rhombicuboctahedron.

Links

Paolo Xausa, Table of n, a(n) for n = 2..10000

Eric Weisstein's World of Mathematics, Deltoidal Icositetrahedron.

Wikipedia, Deltoidal icositetrahedron.

Index entries for algebraic numbers, degree 4.

Formula

Equals 6*sqrt(29 - 2*sqrt(2)) = 6*sqrt(29 - A010466).

Example

30.694895724031009590770314784050673387965107463161...

Mathematica

First[RealDigits[6*Sqrt[29 - Sqrt[8]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["DeltoidalIcositetrahedron", "SurfaceArea"], 10, 100]]

Crossrefs

Cf. A378391 (volume), A378392 (inradius), A378393 (midradius), A378394 (dihedral angle).

Cf. A343964 (surface area of a (small) rhombicuboctahedron with unit edge).

Cf. A010466.

Sequence in context: A182042 A011415 A216473 * A198433 A141434 A077911

Adjacent sequences: A378387 A378388 A378389 * A378391 A378392 A378393

Keyword

nonn,cons,easy

Author

Paolo Xausa, Nov 29 2024

Status

approved