  Black holes are normally and naturally associated to the end-point of
gravitational collapse. Yet, alternatives have been proposed and a particularly
interesting one is that of gravitational condensate stars, or gravastars. We
here revisit the gravastar model and increase the degree of speculation by
considering new solutions that are inspired by the original model of gravastars
with anisotropic pressure, but also offer surprising new features. In
particular, we show that it is possible to nest two gravastars into each other
and obtain a new solution of the Einstein equations. Since each gravastar
essentially behaves as a distinct self-gravitating equilibrium, a large and
rich space of parameters exists for the construction of nested gravastars. In
addition, we show that these nested-gravastar solutions can be extended to an
arbitrarily large number of shells, with a prescription specified in terms of
simple recursive relations. Although these ultra-compact objects are admittedly
very exotic, some of the solutions found, provide an interesting alternative to
a black hole by having a singularity-free origin, a full matter interior, a
time-like matter surface, and a compactness $\mathcal{C}\to (1/2)^{-}$.
