A352455 Decimal expansion of the surface area of the solid formed by the intersection of 8 unit-radius spheres that have the vertices of a unit-side cube as centers.
3, 3, 2, 2, 4, 1, 8, 7, 4, 0, 1, 0, 7, 8, 3, 2, 1, 8, 3, 8, 0, 4, 4, 3, 0, 5, 1, 0, 1, 4, 5, 0, 5, 1, 4, 6, 8, 1, 1, 8, 6, 8, 7, 4, 5, 5, 3, 1, 9, 3, 2, 7, 1, 2, 3, 5, 0, 5, 1, 5, 7, 1, 9, 5, 9, 4, 2, 9, 3, 6, 3, 3, 2, 1, 0, 2, 9, 3, 1, 8, 1, 9, 2, 4, 5, 7, 0, 7, 7, 1, 3, 6, 1, 3, 5, 4, 2, 0, 9, 2, 5, 1, 9, 2, 0
Offset: 0
Examples
0.33224187401078321838044305101450514681186874553193...
Links
- Kee-wai Lau, Problem 1189, Crux Mathematicorum, Vol. 12, No. 9 (1986), p. 242; Solution to Problem 1189, by Rex Westbrook, ibid., Vol. 14, No. 2 (1988), pp. 51-53.
Programs
-
Mathematica
RealDigits[22*Pi - 72*ArcTan[Sqrt[2]], 10, 100][[1]]
Formula
Equals 22*Pi - 72*arctan(sqrt(2)).
Comments