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Entropy of Folding of the Triangular Lattice

P. Di Francesco·E. Guitter
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Abstract

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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P. Di Francesco, E. Guitter. 1994-02-15. Entropy of Folding of the Triangular Lattice. https://doi.org/10.1209/0295-5075%2F26%2F6%2F010

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