Entropy of Folding of the Triangular Lattice
Condensed Matter
2015-06-25 v1 High Energy Physics - Theory
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...
Cite
@article{arxiv.cond-mat/9402058,
title = {Entropy of Folding of the Triangular Lattice},
author = {P. Di Francesco and E. Guitter},
journal= {arXiv preprint arXiv:cond-mat/9402058},
year = {2015}
}
Comments
9 pages, harvmac, epsf, uuencoded, 5 figures included, Saclay preprint T/94018