cp's OEIS Frontend

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.

%I A352455 #5 Mar 17 2022 01:16:11
%S A352455 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,
%T A352455 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,
%U A352455 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
%N 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.
%C A352455 The volume of the solid formed by the intersection is A352454.
%H A352455 Kee-wai Lau, <a href="https://cms.math.ca/publications/crux/issue?volume=12&amp;issue=9">Problem 1189</a>, Crux Mathematicorum, Vol. 12, No. 9 (1986), p. 242; <a href="https://cms.math.ca/publications/crux/issue?volume=14&amp;issue=2">Solution to Problem 1189</a>, by Rex Westbrook, ibid., Vol. 14, No. 2 (1988), pp. 51-53.
%F A352455 Equals 22*Pi - 72*arctan(sqrt(2)).
%e A352455 0.33224187401078321838044305101450514681186874553193...
%t A352455 RealDigits[22*Pi - 72*ArcTan[Sqrt[2]], 10, 100][[1]]
%Y A352455 Cf. A195696, A202473, A336198, A352454.
%K A352455 nonn,cons
%O A352455 0,1
%A A352455 _Amiram Eldar_, Mar 16 2022