Lieb's square ice constant
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Binary | 1.10001010001000110100010111001100… |
Decimal | 1.539600717839002… |
Hexadecimal | 1.8A2345CC0442… |
Continued fraction |
Lieb's square ice constant is a mathematical constant used in the field of combinatorics. It was introduced by Elliott H. Lieb in 1967. [1]
[edit] Definition
Let L denote the area of an n × n square lattice, where L = n2 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).
[edit] References
- ^ Phys. Rev. 162, 162 - 172 (1967). Retrieved on 2008-03-18.