1995/02/15 by M. Bowick, P. Di Francesco, O. Golinelli +1 · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Advanced Materials and Mechanics #Cellular Automata and Applications #Structural Analysis and Optimization #cond-mat #hep-th
paper · pdf · doi:10.1016/0550-3213(95)00290-9
published as Nucl.Phys. B450 (1995) 463-494 · 55 pages, uuencoded, uses harvmac (l mode) and epsf, 19+2 figures included
arxiv created 1995/02/15 · openalex publication_date 1995/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the folding of the regular triangular lattice in three-dimensional embedding space, a model for the crumpling of polymerised membranes. We consider a discrete model, where folds are either planar or form the angles of a regular octahedron. These “octahedral” folding rules correspond simply to a discretisation of the 3d embedding space as a Face Centred Cubic lattice. The model is shown to be equivalent to a 96-vertex model on the triangular lattice. The folding entropy per triangle ln q3d is evaluated numerically to be q3d = 1.43(1). Various exact bounds on q3d are derived.