Entropy of Folding of the Triangular Lattice

Details Entropy of Folding of the Triangular Lattice Entropy of Folding of the Triangular Lattice

1994-02-15

arxiv.org/abs/cond-mat/9402058v1

Europhys. Lett. 26(6) (1994) 455-460

Physics

Condensed Matter

9 pages, harvmac, epsf, uuencoded, 5 figures included, Saclay preprint T/94018

Scientific paper

The problem of counting the different ways of folding the planar triangular
lattice is shown to be equivalent to that of counting the possible 3-colorings
of its bonds, a dual version of the 3-coloring problem of the hexagonal lattice
solved by Baxter. The folding entropy Log q per triangle is thus given by
Baxter's formula q=sqrt(3)(Gamma[1/3])^(3/2)/2pi =1.2087...

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