Twenty-Vertex Entropy Constant
المؤلف:
Baxter, R. J.
المصدر:
"F Model on a Triangular Lattice." J. Math. Phys. 10
الجزء والصفحة:
...
24-1-2020
1253
Twenty-Vertex Entropy Constant
Let 
denote the 
triangular lattice with wraparound. Call an orientation of 
an assignment of a direction to each edge of 
, and denote the number of orientations of 
such that each vertex has three inwardly directed and three outwardly directly edges by 
. Such an orientation is said to consist of Eulerian orientation.
Baxter showed that
(OEIS A104956; Finch 2003, p. 412), which is known as the twenty-vertex entropy constant (a term coined here for the first time).
REFERENCES:
Baxter, R. J. "
Model on a Triangular Lattice." J. Math. Phys. 10, 1211-1216, 1969.
Baxter, R. J. Exactly Solved Models in Statistical Mechanics. New York: Academic Press, 1982.
Finch, S. R. "Lieb's Square Ice Constant." §5.24 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 412-413, 2003.
Sloane, N. J. A. Sequence A104956 in "The On-Line Encyclopedia of Integer Sequences."
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