Recognizing that protostellar clouds are unlikely to be completely sph
erical, we explore some effects of initial cloud geometry by consideri
ng collapse from a sheet initially in hydrostatic equilibrium. A quali
tatively different feature of sheet collapse compared with spherical c
ontraction is the development of relatively evacuated cavities in the
infalling dusty cloud, which arise because material falls in first alo
ng the shortest dimension to the central gravitating mass. Using analy
tic models of collapse, which reproduce the main features of our previ
ous numerical time-dependent simulations, we perform detailed radiativ
e transfer calculations, which suggest that these collapse cavities ca
n naturally explain the morphological appearance of many reflection ne
bulae around young stars on small distance scales without requiring in
itially diverging outflows. Sheet collapse models can simultaneously e
xplain small-scale reflection nebula morphologies and dust envelope em
ission properties of many young stellar objects more easily than the s
tandard spherical collapse models. The sheet collapse picture suggests
that protostars, i.e., young stellar objects still accreting a large
fraction of their mass from infalling envelopes, may be optically visi
ble over a substantial range of system inclinations to the line of sig
ht. These results may be especially relevant to cases where fragmentat
ion and collapse has been triggered by an external impulse, such as a
shock wave. We show how many properties of the flat-spectrum T Tauri s
tar HL Tau can be interpreted in terms of flattened protostellar cloud
collapse and draw some distinctions between the flattened toroids res
ulting in our calculations and the ''pseudodisk'' of Galli & Shu.