cp's OEIS Frontend

A349578 Decimal expansion of the volume of the solid formed by the intersection of 6 right circular unit-diameter cylinders whose axes are parallel to the face diagonals of a cube and intersect at a single point.

%I A349578 #4 Nov 22 2021 08:09:11
%S A349578 5,3,8,1,6,4,9,1,0,4,3,0,2,4,9,5,9,4,5,6,5,4,2,5,1,9,0,7,8,1,9,6,8,2,
%T A349578 7,9,7,3,7,9,4,8,6,7,0,7,4,1,9,7,9,3,0,8,9,3,6,5,9,6,6,7,1,2,9,3,9,5,
%U A349578 7,4,1,3,3,1,2,7,8,1,2,7,9,1,7,3,8,2,8,1,5,7,4,6,9,2,8,7,2,4,0,2,7,4,1,3,1
%N A349578 Decimal expansion of the volume of the solid formed by the intersection of 6 right circular unit-diameter cylinders whose axes are parallel to the face diagonals of a cube and intersect at a single point.
%C A349578 This constant was first calculated by Moore (1974).
%H A349578 Paul Bourke, <a href="http://paulbourke.net/geometry/cylinders/">Intersecting cylinders</a>, 2003-2016.
%H A349578 Moreton Moore, <a href="http://www.jstor.org/stable/3615957">Symmetrical Intersections of Right Circular Cylinders</a>, The Mathematical Gazette, Vol. 58, No. 405 (1974), pp. 181-185.
%H A349578 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SteinmetzSolid.html">Steinmetz Solid</a>.
%H A349578 Wikipedia, <a href="https://en.wikipedia.org/wiki/Steinmetz_solid">Steinmetz solid</a>.
%F A349578 Equals (2/3) * (3 + 2 * sqrt(3) - 4 * sqrt(2)).
%e A349578 0.53816491043024959456542519078196827973794867074197...
%t A349578 RealDigits[(2/3) * (3 + 2 * Sqrt[3] - 4 * Sqrt[2]), 10, 100][[1]]
%Y A349578 Cf. A101465, A349577, A349579, A349580.
%K A349578 nonn,cons
%O A349578 0,1
%A A349578 _Amiram Eldar_, Nov 22 2021