  We describe a number of aspects in our attempt to construct an approximately
perfect lattice action for QCD. Free quarks are made optimally local on the
whole renormalized trajectory and their couplings are then truncated by
imposing 3-periodicity. The spectra of these short ranged fermions are
excellent approximations to continuum spectra. The same is true for free
gluons. We evaluate the corresponding perfect quark-gluon vertex function,
identifying in particular the ``perfect clover term''. First simulations for
heavy quarks show that the mass is strongly renormalized, but again the
renormalized theory agrees very well with continuum physics. Furthermore we
describe the multigrid formulation for the non-perturbative perfect action and
we present the concept of an exactly (quantum) perfect topological charge on
the lattice.

High Energy Physics - Lattice;High Energy Physics - Theory