  We present a method for constructing classically perfect anisotropic actions
for SU(3) gauge theory based on a present isotropic Fixed Point Action. The
action is parametrised using smeared (``fat'') links. The construction is done
explicitly for anisotropy $\xi=a_s/a_t=2,4$ and the renormalised anisotropies
are determined using the torelon dispersion relation. Quantities such as the
static quark-antiquark potential, the critical temperature of the deconfining
phase transition and the low-lying glueball spectrum are measured as well. It
turns out that the procedure presented works, the renormalised anisotropy is
small and the parametrisation describes the full action well. Issues such as
the application of the method for scalar fields as well as for the quadratic
approximation to gauge theory, measurements of autocorrelation times of simple
operators and of the computational overhead are also covered. A (more compact)
paper about this classically perfect anisotropic gauge action is in
preparation.
