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A179451 Decimal expansion of the surface area of an icosidodecahedron with side length 1. 17

%I #9 Oct 30 2023 01:54:46

%S 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,

%T 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,

%U 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

%N Decimal expansion of the surface area of an icosidodecahedron with side length 1.

%C Icosidodecahedron: 32 faces, 30 vertices, and 60 edges.

%H <a href="/index/Al#algebraic_08">Index entries for algebraic numbers, degree 8</a>

%F Sqrt(30*(10+3*sqrt(5)+sqrt(75+30*sqrt(5))))

%e 29.3059828449119895407453754361926770276025163091742830907641713815460...

%t RealDigits[N[Sqrt[30*(10+3*Sqrt[5]+Sqrt[75+30*Sqrt[5]])],200]]

%o (PARI) polrootsreal(x^8 - 1200*x^6 + 324000*x^4 - 27000000*x^2 + 324000000)[8] \\ _Charles R Greathouse IV_, Oct 30 2023

%Y Cf. A010527, A102208, A179290, A179292, A179294, A179449, A179450.

%K nonn,cons,easy

%O 2,1

%A _Vladimir Joseph Stephan Orlovsky_, Jul 14 2010

%E Partially rewritten by _Charles R Greathouse IV_, Feb 03 2011

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Last modified April 25 12:15 EDT 2024. Contains 371969 sequences. (Running on oeis4.)