Entropy of Folding of the Triangular Lattice

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-colourings of its bonds, a dual version of the 3-colouring problem of the hexagonal lattice solved by Baxter. The folding entropy log q per triangle is thus given by Baxter’s formula $\sqrt{3}\Gamma (1/3)$$^{3/2}$ /2$\pi$ = 1.2087
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Philippe Di Francesco, Emmanuel Guitter. Entropy of Folding of the Triangular Lattice. EPL - Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 1994, 26 (6), pp.455-460. ⟨cea-02008212⟩

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