A379386 Decimal expansion of the volume of a deltoidal hexecontahedron with unit shorter edge length.

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

Offset: 2

Author

Paolo Xausa, Dec 23 2024

Keywords

• nonn
• cons
• easy

Comments

The deltoidal hexecontahedron is the dual polyhedron of the (small) rhombicosidodecahedron.

Examples

			81.004143635377089099456665341616282246804393456803...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 2..10000
• Eric Weisstein's World of Mathematics, Deltoidal Hexecontahedron.
• Wikipedia, Deltoidal hexecontahedron.

Crossrefs

Cf. A379385 (surface area), A379387 (inradius), A379388 (midradius), A379389 (dihedral angle).

Cf. A185093 (volume of a (small) rhombicosidodecahedron with unit edge length).

Cf. A002163.

Programs

Mathematica

First[RealDigits[Sqrt[(29530 + 13204*Sqrt[5])/9], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["DeltoidalHexecontahedron","Volume"], 10, 100]]

Formula

Equals sqrt((29530 + 13204*sqrt(5))/9) = sqrt((29530 + 13204*A002163)/9).