A386693 Decimal expansion of the volume of a tridiminished rhombicosidodecahedron with unit edges.

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

Offset: 2

Author

Paolo Xausa, Jul 31 2025

Keywords

• nonn
• cons
• easy

Comments

The tridiminished rhombicosidodecahedron is Johnson solid J_83.

Examples

			34.64318782749838767247033146027311780504474075702...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 2..10000
• Wikipedia, Tridiminished rhombicosidodecahedron.

Crossrefs

Cf. A386694 (surface area).

Cf. A002163, A179590, A185093, A386689, A386691.

Programs

Mathematica

First[RealDigits[35/2 + 23/3*Sqrt[5], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J83", "Volume"], 10, 100]]

Formula

Equals 35/2 + (23/3)*sqrt(5) = 35/2 + (23/3)*A002163.

Equals A185093 - 3*A179590.

Equals the largest root of 36*x^2 - 1260*x + 445.