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A185093
Decimal expansion of the volume of small rhombicosidodecahedron with edge = 1.
3
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
2,1
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
LINKS
G. C. Greubel, Table of n, a(n) for n = 2..5001 [Offset adapted by Georg Fischer, Oct 18 2021]
EXAMPLE
41.6153237824979670652886787977356702759259774762447486679520...
MATHEMATICA
RealDigits[N[20 + (29*Sqrt[5])/3, 200]][[1]]
PROG
(PARI) 29*sqrt(5)/3+20 \\ Charles R Greathouse IV, Oct 01 2012
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
EXTENSIONS
Offset changed by Georg Fischer, Jul 29 2021
STATUS
approved