A185093 Decimal expansion of the volume of small rhombicosidodecahedron with edge = 1.

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

Offset: 2

Author

Vladimir Joseph Stephan Orlovsky, Feb 04 2012

Keywords

• nonn
• cons

Comments

Small Rhombicosidodecahedron: 62 faces, 60 vertices, and 120 edges.

Surface Area = 30+sqrt(30*(10+3*sqrt(5)+sqrt(75+30*sqrt(5)))) = 59.30598284491...

Circumradius = sqrt(11+4*sqrt(5))/2 = 2.23295050941569004950041538324968277293...

Midradius = sqrt(10+4*sqrt(5))/2 = 2.17625089948282151110005286599776788019807...

Quadratic number with denominator 3 and minimal polynomial 9x^2 - 360x - 605. - Charles R Greathouse IV, Apr 25 2016

Examples

			41.6153237824979670652886787977356702759259774762447486679520...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 2..5001 [Offset adapted by _Georg Fischer_, Oct 18 2021]

Crossrefs

Cf. A102208, A179290, A179292.

Programs

Mathematica

RealDigits[N[20 + (29*Sqrt[5])/3, 200]][[1]]
RealDigits[PolyhedronData["Rhombicosidodecahedron","Volume"],10,100][[1]] (* Harvey P. Dale, Aug 04 2025 *)

PARI

29*sqrt(5)/3+20 \\ Charles R Greathouse IV, Oct 01 2012

Extensions

Offset changed by Georg Fischer, Jul 29 2021