A174849 Decimal expansion of the site percolation threshold for the (3, 12^2) Archimedean lattice.

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

Offset: 0

Author

Jonathan Vos Post, Dec 22 2012

Keywords

• nonn
• cons

Examples

			0.80790076412028433128335203932861191473183501086272...
		

Links

• Paul N. Suding and Robert M. Ziff, Site percolation thresholds for Archimedean lattices, arXiv:cond-mat/9811416 [cond-mat.dis-nn], 1998.
• Paul N. Suding and Robert M. Ziff, Site percolation thresholds for Archimedean lattices, Phys. Rev. E 60, 275 (1999): 275-283. Bibcode 1999PhRvE..60..275S.
• Wikipedia, Percolation threshold.

Programs

Mathematica

RealDigits[Sqrt[1 - 2*Sin[Pi/18]], 10, 120][[1]] (* Amiram Eldar, Jun 25 2023 *)

Formula

Equals (1 - 2*sin(Pi/18))^(1/2).