A140457 - OEIS

%I #12 Jul 18 2021 02:10:58

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

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

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

%N Decimal expansion of surface area of unit elongated dodecahedron.

%D Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, 1973.

%D Fedorov, E. S. "Elemente der Gestaltenlehre." Mineralogicheskoe obshchestvo Leningrad (Verhandlungen der Russisch-Kaiserlichen Mineralogischen Gesellschaft zu St. Petersburg 21, 1-279, 1885.

%D Tutton, A. E. H. Crystallography and Practical Crystal Measurement. London, pp. 567 (Fig. 448) and 723 (Fig. 585), 1922.

%H Eric W. Weisstein, <a href="http://mathworld.wolfram.com/ElongatedDodecahedron.html">Elongated Dodecahedron</a>.

%F 2*sqrt(3)*(3 + sqrt(5)) = A010469*(1+A098317).

%e 18.138271537828097532....

%t RealDigits[2*Sqrt[3]*(3+Sqrt[5]),10,130][[1]] (* _Harvey P. Dale_, Nov 26 2011 *)

%K cons,easy,nonn

%O 2,2

%A _Jonathan Vos Post_, Jun 26 2008

%E Corrected offset. Added more digits _R. J. Mathar_, Jan 26 2009