We idealize giant molecular clouds as flattened sheets, incorporating the c
oncepts of strong magnetization, star formation from dense cores, and effic
ient bipolar outflows. This toy model reproduces the observed tendency of m
olecular clouds to form filaments without the need to invoke large-scale ov
erall gravitational collapse that would yield a rate of star formation far
in excess of empirical Galactic values. It yields line width-size relations
hips that are in rough accord with observations, although better simulation
s are needed that remove the imposition of periodic boundary conditions and
allow for a more systematic treatment of subgrid turbulence. The model len
ds credence to earlier ideas concerning the self-regulation of star formati
on by turbulence and photoionization.