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A140457
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Decimal expansion of surface area of unit elongated dodecahedron.
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0
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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, 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, 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
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 2,2
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COMMENTS
| 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.
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REFERENCES
| Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, 1973.
Fedorov, E. S. "Elemente der Gestaltenlehre." Mineralogicheskoe obshchestvo Leningrad (Verhandlungen der Russisch-Kaiserlichen Mineralogischen Gesellschaft zu St. Petersburg 21, 1-279, 1885.
Tutton, A. E. H. Crystallography and Practical Crystal Measurement. London, pp. 567 (Fig. 448) and 723 (Fig. 585), 1922.
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LINKS
| Eric W. Weisstein, Elongated Dodecahedron.
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FORMULA
| 2*(3^0.5)*(3 + 5^0.5) = A010469*(1+A098317).
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EXAMPLE
| 18.138271537828097532....
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MATHEMATICA
| RealDigits[2Sqrt[3](3+Sqrt[5]), 10, 130][[1]] (* From Harvey P. Dale, Nov 26 2011 *)
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CROSSREFS
| Sequence in context: A127454 A093602 A011469 * A176457 A110194 A199283
Adjacent sequences: A140454 A140455 A140456 * A140458 A140459 A140460
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KEYWORD
| cons,easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 26 2008
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EXTENSIONS
| Corrected offset. Added more digits R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 26 2009
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