  A new parametrization is introduced for the fixed point (FP) action in SU(3)
gauge theory using fat links. We investigate its scaling properties by means of
the static quark-antiquark potential and the dimensionless quantities $r_0 T_c,
T_c/\sqrt{\sigma}$ and $r_0 \sqrt{\sigma}$, where $T_c$ is the critical
temperature of the deconfining phase transition, $r_0$ is the hadronic scale
and $\sigma$ is the effective string tension. These quantities scale even on
lattices as coarse as $a \approx 0.3$ fm. We also measure the glueball spectrum
and obtain $m_{0^{++}}=1627(83)$ MeV and $m_{2^{++}}=2354(95)$ MeV for the
masses of the scalar and tensor glueballs, respectively.
