A coarse-grained model of a self-avoiding tethered membrane with hexagonal coordination,
embedded in three-dimensional space, is studied by means of extensive Monte Carlo
computer simulations. The simulations are performed at various temperatures for
membranes with linear size 5⩽ L⩽ 50⁠. We find that the membrane undergoes several
folding transitions from a high-temperature flat phase to multiple-folded structure as the
temperature is steadily decreased. Using a suitable order parameter and finite size scaling …