%I A140457
%S A140457 1,8,1,3,8,2,7,1,5,3,7,8,2,8,0,9,7,5,3,1,5,2,3,2,0,8,8,4,8,6,0,0,0,3,3,
4,2,3,3,2,
%T A140457 2,6,7,4,9,3,3,4,4,5,4,6,5,4,2,1,5,0,9,9,8,9,4,0,8,9,3,8,5,6,4,2,8,5,3,
2,6,7,5,8,2,8,
%U A140457 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 A140457 Decimal expansion of surface area of unit elongated dodecahedron.
%C A140457 The elongated dodecahedron, also known as the extended rhombic dodecahedron
and rhombo-hexagonal dodecahedron, is a space-filling polyhedron
and primary parallelohedron bounded by eight rhombi.
%D A140457 Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, 1973.
%D A140457 Fedorov, E. S. "Elemente der Gestaltenlehre." Mineralogicheskoe obshchestvo
Leningrad (Verhandlungen der Russisch-Kaiserlichen Mineralogischen
Gesellschaft zu St. Petersburg 21, 1-279, 1885.
%D A140457 Tutton, A. E. H. Crystallography and Practical Crystal Measurement. London,
pp. 567 (Fig. 448) and 723 (Fig. 585), 1922.
%H A140457 Eric W. Weisstein, <a href="http://mathworld.wolfram.com/ElongatedDodecahedron.html">
Elongated Dodecahedron</a>.
%F A140457 2*(3^0.5)*(3 + 5^0.5) = A010469*(1+A098317).
%e A140457 18.138271537828097532....
%Y A140457 Sequence in context: A127454 A093602 A011469 this_sequence A110194 A079359
A010156
%Y A140457 Adjacent sequences: A140454 A140455 A140456 this_sequence A140458 A140459
A140460
%K A140457 cons,easy,nonn
%O A140457 2,2
%A A140457 Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 26 2008
%E A140457 Corrected offset. Added more digits R. J. Mathar (mathar(AT)strw.leidenuniv.nl),
Jan 26 2009
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