Lieb's square ice constant
- Lieb's square ice constant
Lieb's square ice constant is a mathematical constant used in the field of combinatorics. It was introduced by Elliott H. Lieb in 1967. [cite web|url=http://prola.aps.org/abstract/PR/v162/i1/p162_1|title=Phys. Rev. 162, 162 - 172 (1967)|accessdate=2008-03-18]
Definition
Let "L" denote the area of an "n" × "n" square lattice, where "L" = "n"2 Assign a direction to each edge of the lattice. Denote the number of orientations of such that each vertex has two inwardly directed and two outwardly directled edges by ƒ("n").
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References
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