Lattice model for self-folding at the microscale

Three-dimensional shell-like structures can be obtained spontaneously at the microscale from self-folding of 2D templates rigid panels. At least for simple structures, motion each panel is consistent with a Brownian process and folding occurs through sequence binding events, where pairs panels meet specific closing angle. Here, we propose lattice model to describe dynamics self-folding. As an example, study pyramid N lateral faces. We combine analytical numerical Monte Carlo simulations find how time depends on number faces, angle, initial configuration. Implications more complex are discussed.