A377799 Decimal expansion of the midradius of a truncated icosidodecahedron (great rhombicosidodecahedron) with unit edge length.

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

Offset: 1

Author

Paolo Xausa, Nov 08 2024

Keywords

• nonn
• cons
• easy

Examples

			3.76937712792171660267226420066194243563005157196...
		

Links

• Eric Weisstein's World of Mathematics, Great Rhombicosidodecahedron.
• Wikipedia, Truncated icosidodecahedron.

Crossrefs

Cf. A377796 (surface area), A377797 (volume), A377798 (circumradius).

Cf. A010499, A344171.

Programs

Mathematica

First[RealDigits[Sqrt[15/2 + Sqrt[45]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TruncatedIcosidodecahedron", "Midradius"], 10, 100]]

Formula

Equals sqrt(15/2 + 3*sqrt(5)) = sqrt(15/2 + A010499) = sqrt(30 + A344171)/2.