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.

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, 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, 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

Offset: 0

Author

Amiram Eldar, Nov 22 2021

Keywords

• nonn
• cons

Comments

This constant was first calculated by Moore (1974).

Examples

			0.53816491043024959456542519078196827973794867074197...
		

Links

• Paul Bourke, Intersecting cylinders, 2003-2016.
• Moreton Moore, Symmetrical Intersections of Right Circular Cylinders, The Mathematical Gazette, Vol. 58, No. 405 (1974), pp. 181-185.
• Eric Weisstein's World of Mathematics, Steinmetz Solid.
• Wikipedia, Steinmetz solid.

Crossrefs

Cf. A101465, A349577, A349579, A349580.

Programs

Mathematica

RealDigits[(2/3) * (3 + 2 * Sqrt[3] - 4 * Sqrt[2]), 10, 100][[1]]

Formula

Equals (2/3) * (3 + 2 * sqrt(3) - 4 * sqrt(2)).