We present an introduction to the equivariant slice filtration. After
reviewing the definitions and basic properties, we determine the slice
dimension of various families of naturally arising spectra. This leads to an
analysis of pullbacks of slices defined on quotient groups, producing new
collections of slices. Building on this, we determine the slice tower for the
Eilenberg-Mac Lane spectrum associated to a Mackey functor for a cyclic
$p$-group. We then relate the Postnikov tower to the slice tower for various
spectra. Finally, we pose a few conjectures about the nature of slices and
pullbacks.