A379385 Decimal expansion of the surface area of a deltoidal hexecontahedron with unit shorter edge length.

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

Offset: 2

Author

Paolo Xausa, Dec 22 2024

Keywords

• nonn
• cons
• easy

Comments

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

Examples

			92.231912906404640710406169319098384407207052545184...
		

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. A379386 (volume), A379387 (inradius), A379388 (midradius), A379389 (dihedral angle).

Cf. A344149 (surface area of a (small) rhombicosidodecahedron with unit edge length).

Cf. A002163.

Programs

Mathematica

First[RealDigits[Sqrt[4370 + 1850*Sqrt[5]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["DeltoidalHexecontahedron", "SurfaceArea"], 10, 100]]

Formula

Equals sqrt(4370 + 1850*sqrt(5)) = sqrt(4370 + 1850*A002163).