A377804 Decimal expansion of the surface area of a snub dodecahedron with unit edge length.

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

Offset: 2

Author

Paolo Xausa, Nov 08 2024

Keywords

• nonn
• cons
• easy

Examples

			55.2867449584451489436570705587807625317445951163...
		

Links

• Eric Weisstein's World of Mathematics, Snub Dodecahedron.
• Wikipedia, Snub dodecahedron.
• Index entries for algebraic numbers, degree 8.

Crossrefs

Cf. A377805 (volume), A377806 (circumradius), A377807 (midradius).

Cf. A131595 (analogous for a regular dodecahedron).

Cf. A002194.

Programs

Mathematica

First[RealDigits[20*Sqrt[3] + 3*Sqrt[25 + 10*Sqrt[5]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["SnubDodecahedron", "SurfaceArea"], 10, 100]]

Formula

Equals 20*sqrt(3) + 3*sqrt(25 + 10*sqrt(5)) = 20*A002194 + A131595.