A093821 Decimal expansion of (2*(3 - sqrt(3)))/3.

8, 4, 5, 2, 9, 9, 4, 6, 1, 6, 2, 0, 7, 4, 8, 4, 7, 0, 9, 8, 1, 7, 0, 2, 4, 3, 8, 9, 9, 6, 0, 8, 5, 0, 8, 8, 7, 0, 4, 7, 9, 6, 4, 9, 7, 4, 5, 9, 7, 4, 6, 2, 4, 7, 9, 6, 2, 7, 9, 5, 3, 4, 7, 0, 3, 2, 0, 4, 4, 6, 5, 5, 3, 9, 4, 1, 3, 3, 3, 0, 8, 6, 1, 2, 5, 6, 9, 2, 0, 8, 8, 2, 8, 5, 0, 0, 9, 4, 9, 5, 4, 9

Offset: 0

Author

Eric W. Weisstein, Apr 16 2004

Keywords

• nonn
• cons
• easy

Comments

Area of lamina found by Pal in the Lebesgue minimal problem.

This appears also as the ratio r_3/r_4 of the outer radii of a regular triangle circumscribed by a regular quadrangle such that they share one vertex and the other two vertices of the triangle touch two sides of the quadrangle. The center of the quadrangle is displaced from the center of the triangle by d/r_4 = 1-2/sqrt(3) = 0.154700.. (see A020832). # R. J. Mathar, Jan 22 2013

Examples

			0.845299461...
		

Links

• Eric Weisstein's World of Mathematics, Lebesgue Minimal Problem

Crossrefs

Cf. A010527, A093822.

Programs

Maple

evalf(2*(1-1/sqrt(3))) ; # R. J. Mathar, Jan 22 2013