A377795 Decimal expansion of the midradius of a (small) rhombicosidodecahedron with unit edge length.

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

Offset: 1

Author

Paolo Xausa, Nov 08 2024

Keywords

• nonn
• cons
• easy

Examples

			2.1762508994828215111000528659977678801980731915893...
		

Links

• Eric Weisstein's World of Mathematics, Small Rhombicosidodecahedron.
• Wikipedia, Rhombicosidodecahedron.

Crossrefs

Cf. A344149 (surface area), A185093 (volume), A179592 (circumradius), A377606 (Dehn invariant, negated).

Cf. A002163.

Programs

Mathematica

First[RealDigits[Sqrt[5/2 + Sqrt[5]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["Rhombicosidodecahedron", "Midradius"], 10, 100]]

Formula

Equals sqrt(5/2 + sqrt(5)) = sqrt(5/2 + A002163).