Fixed-point pure gauge action using $b=\sqrt{3}$ RGT

We present a status report on the construction of the classical perfect action using the $b=\sqrt{3}$ renormalization group transformation (RGT). We investigate finite volume corrections and map the locality of the fixed-point action by tuning the RGT parameter, $\kappa$. We compare results with the previous calculation for b=2 RGT.