A379338 Decimal expansion of 2*(2 - sqrt(3)).

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

Offset: 0

Author

Stefano Spezia, Dec 21 2024

Keywords

• nonn
• cons
• easy

Comments

The greatest possible minimum distance between 7 points in a unit square (Schaer and Meir, 1965; Schaer, 1965; Croft et al., 1991). - Amiram Eldar, Feb 24 2025

Examples

			0.535898384862245412945107316988255266114389492379...
		

References

• Hallard T. Croft, Kenneth J. Falconer, and Richard K. Guy, Unsolved Problems in Geometry, Springer, 1991, Section D1, p. 108.
• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.2, p. 487.

Links

• J. Schaer and A. Meir, On a geometric extremum problem, Canadian Mathematical Bulletin, Vol. 8, No. 1 (1965), pp. 21-27.
• J. Schaer, The densest packing of 9 circles in a square, Canadian Mathematical Bulletin, Vol. 8, No. 3 (1965), pp. 273-277.

Crossrefs

Cf. A002194, A019913.

Programs

Mathematica

RealDigits[2(2-Sqrt[3]),10,100][[1]]

Formula

Minimal polynomial: x^2 - 8*x + 4. - Stefano Spezia, Aug 03 2025