login
A179451
Decimal expansion of the surface area of an icosidodecahedron with side length 1.
17
2, 9, 3, 0, 5, 9, 8, 2, 8, 4, 4, 9, 1, 1, 9, 8, 9, 5, 4, 0, 7, 4, 5, 3, 7, 5, 4, 3, 6, 1, 9, 2, 6, 7, 7, 0, 2, 7, 6, 0, 2, 5, 1, 6, 3, 0, 9, 1, 7, 4, 2, 8, 3, 0, 9, 0, 7, 6, 4, 1, 7, 1, 3, 8, 1, 5, 4, 6, 0, 9, 2, 9, 9, 1, 0, 5, 1, 5, 9, 4, 9, 6, 1, 3, 9, 5, 0, 2, 5, 8, 3, 0, 4, 3, 7, 2, 9, 5, 7, 6, 4, 3, 0, 4, 6
OFFSET
2,1
COMMENTS
Icosidodecahedron: 32 faces, 30 vertices, and 60 edges.
FORMULA
Sqrt(30*(10+3*sqrt(5)+sqrt(75+30*sqrt(5))))
EXAMPLE
29.3059828449119895407453754361926770276025163091742830907641713815460...
MATHEMATICA
RealDigits[N[Sqrt[30*(10+3*Sqrt[5]+Sqrt[75+30*Sqrt[5]])], 200]]
PROG
(PARI) polrootsreal(x^8 - 1200*x^6 + 324000*x^4 - 27000000*x^2 + 324000000)[8] \\ Charles R Greathouse IV, Oct 30 2023
KEYWORD
nonn,cons,easy
AUTHOR
EXTENSIONS
Partially rewritten by Charles R Greathouse IV, Feb 03 2011
STATUS
approved