Entropy of folding of the triangular lattice - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Access content directly
Journal Articles EPL - Europhysics Letters Year : 1994

Entropy of folding of the triangular lattice

Philippe Di Francesco
  • Function : Author
  • PersonId : 837111
Emmanuel Guitter


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

Dates and versions

cea-02008212 , version 1 (05-02-2019)



Philippe Di Francesco, Emmanuel Guitter. Entropy of folding of the triangular lattice. EPL - Europhysics Letters, 1994, 26 (6), pp.455-460. ⟨10.1209/0295-5075/26/6/010⟩. ⟨cea-02008212⟩
29 View
0 Download



Gmail Facebook X LinkedIn More