N.B. A detailed on-line essay by S. Finch was the starting point for this entry.
A constant related to the Hard Square Entropy Constant. This constant is given by
(1) |
(2) |
(3) | |||
(4) | |||
(5) | |||
(6) | |||
(7) | |||
(8) | |||
(9) |
References
Baxter, R. J. ``Hard Hexagons: Exact Solution.'' J. Physics A 13, 1023-1030, 1980.
Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/square/square.html
Joyce, G. S. ``On the Hard Hexagon Model and the Theory of Modular Functions.'' Phil. Trans. Royal Soc. London A 325, 643-702, 1988.
Plouffe, S. ``Hard Hexagons Constant.''
http://www.lacim.uqam.ca/piDATA/hardhex.html.