  Thermalized elastic membranes without distant self-avoidance are believed to
undergo a crumpling transition when the microscopic bending stiffness is
comparable to $kT$, the scale of thermal fluctuations. Most potential physical
realizations of such membranes have a bending stiffness well in excess of
experimentally achievable temperatures and are therefore unlikely ever to
access the crumpling regime. We propose a mechanism to tune the onset of the
crumpling transition by altering the geometry and topology of the sheet itself.
We carry out extensive molecular dynamics simulations of perforated sheets with
a dense periodic array of holes and observe that the critical temperature is
controlled by the total fraction of removed area, independent of the precise
arrangement and size of the individual holes. The critical exponents for the
perforated membrane are compatible with those of the standard crumpling
transition.
