A140457 - OEIS

A140457

Decimal expansion of surface area of unit elongated dodecahedron.

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; text; internal format)

OFFSET

2,2

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.

LINKS

Table of n, a(n) for n=2..124.

Eric W. Weisstein, Elongated Dodecahedron.

FORMULA

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

EXAMPLE

18.138271537828097532....

MATHEMATICA

RealDigits[2*Sqrt[3]*(3+Sqrt[5]), 10, 130][[1]] (* Harvey P. Dale, Nov 26 2011 *)

CROSSREFS

Sequence in context: A127454 A093602 A011469 * A358286 A176457 A110194