Folding the Square-Diagonal Lattice

Abstract

We study the problem of "phantom" folding of the two-dimensional square lattice, in which the edges and diagonals of each face can be folded. The non-vanishing thermodynamic folding entropy per face $s\simeq .2299(1)$ is estimated both analytically and numerically, by successively mapping the model onto a dense loop model, a spin model and a new 28 Vertex, 4-color model. Higher dimensional generalizations are investigated, as well as other foldable lattices.

uses harvmac, epsf, 48 pages, 27 figures

References in corpus (1)

• Coloring Random Triangulations

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