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A379531
Decimal expansion of (3*sqrt(6) - 7)*Pi/3.
0
3, 6, 4, 9, 1, 6, 1, 2, 2, 5, 9, 5, 0, 0, 0, 3, 5, 0, 1, 8, 4, 7, 1, 6, 9, 3, 0, 3, 7, 3, 8, 6, 5, 0, 7, 2, 3, 4, 3, 5, 0, 2, 0, 7, 3, 5, 0, 9, 3, 0, 7, 0, 2, 3, 0, 0, 0, 1, 3, 3, 5, 9, 1, 8, 2, 0, 1, 5, 4, 6, 5, 9, 7, 4, 3, 6, 4, 4, 9, 4, 2, 7, 3, 4, 3, 0, 6, 9, 2, 1, 8, 4, 9, 4, 2, 6, 8, 1, 9, 1
OFFSET
0,1
COMMENTS
Lower bound to the volume of the Meisser's tetrahedral analog of the Reuleaux triangle.
REFERENCES
G. D. Chakerian and H. Groemer, Convex bodies of constant width, Convexity and Its Applications, ed. P. M. Gruber and J. M. Wills, Birkhäuser, 1983, pp. 49-96; MR85f:52001.
Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.10, p. 514.
LINKS
G. D. Chakerian, Sets of constant width, Pacific J. Math. 19 (1966) 13-21; MR 34 #4986. See p. 14.
Michael I. Shamos, A catalog of the real numbers, (2007). See p. 230.
EXAMPLE
0.3649161225950003501847169303738650723435020735...
MATHEMATICA
RealDigits[(3Sqrt[6]-7)Pi/3, 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Stefano Spezia, Dec 24 2024
STATUS
approved