  This is a continuation of the authors' earlier work on deformations of
cuspidal edges. We give a representation formula for swallowtails in the
Euclidean 3-space. Using this, we investigate map germs of generic swallowtails
in 3-dimensional space from, and show some important properties of them. In
particular, we give a representation formula giving all map germs of
swallowtails in the Euclidean 3-space whose Gaussian curvatures are bounded
from below by a positive constant or by a negative constant from above. Using
this, we show that any swallowtails are deformed into a swallowtail of constant
Gaussian curvature preserving the sign of their Gaussian curvatures.
