  Minimal crystallizations of simply connected PL 4-manifolds are very natural
objects. Many of their topological features are reflected in their
combinatorial structure which, in addition, is preserved under the connected
sum operation. We present a minimal crystallization of the standard PL K3
surface. In combination with known results this yields minimal crystallizations
of all simply connected PL 4-manifolds of "standard" type, that is, all
connected sums of $\mathbb{CP}^2$, $S^2 \times S^2$, and the K3 surface. In
particular, we obtain minimal crystallizations of a pair of homeomorphic but
non-PL-homeomorphic 4-manifolds. In addition, we give an elementary proof that
the minimal 8-vertex crystallization of $\mathbb{CP}^2$ is unique and its
associated pseudotriangulation is related to the 9-vertex combinatorial
triangulation of $\mathbb{CP}^2$ by the minimum of four edge contractions.
