  Conditions are given which imply that certain non-autonomous analytic
iterated function systems (NIFS's) in the complex plane have uniformly perfect
attractor sets, while other conditions imply the attractor is pointwise thin,
and thus hereditarily non uniformly perfect. Examples are given to illustrate
the main theorems, as well as to indicate how they generalize other results.
Examples are also given to illustrate how possible generalizations of
corresponding results for autonomous IFS's do not hold in general in this more
flexible setting. Further, applications to non-autonomous Julia sets are given.
Lastly, since our definition of NIFS is in some ways more general than others
found in the literature, a careful analysis is given to show when certain
familiar relationships still hold, along with detailed examples showing when
other relationships do not hold.
