  We construct a model of a universe filled with a perfect fluid with isotropic
particle pressure. The anisotropic plane symmetric Kasner spacetime is used as
a seed metric and through a conformal mapping a perfect fluid is generated. The
model is inhomogeneous, irrotational, shearing and accelerating. For negative
time, the universe is expanding while for positive time it is collapsing. With
the aid of graphical three dimensional plots it is established that the density
and pressure hypersurfaces are smooth and singularity free. Additionally the
sound-speed index is computed and the fluid obeys causality criterion.
