|
|
A185093
|
|
Decimal expansion of the volume of small rhombicosidodecahedron with edge = 1.
|
|
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
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Small Rhombicosidodecahedron: 62 faces, 60 vertices, and 120 edges.
Surface Area = 30+sqrt(30*(10+3*sqrt(5)+sqrt(75+30*sqrt(5)))) = 59.30598284491198954074537543
Circumradius = sqrt(11+4*sqrt(5))/2 = 2.2329505094156900495004153832496827729340807305791816
Midradius = sqrt(10+4*sqrt(5))/2 = 2.1762508994828215111000528659977678801980731915893299472
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 = 1..5000
|
|
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
|
Cf. A102208, A179290, A179292.
Sequence in context: A109040 A133828 A144907 * A010779 A215619 A136706
Adjacent sequences: A185090 A185091 A185092 * A185094 A185095 A185096
|
|
KEYWORD
|
nonn,cons
|
|
AUTHOR
|
Vladimir Joseph Stephan Orlovsky, Feb 04 2012
|
|
STATUS
|
approved
|
|
|
|