  The fractal dimension $D_f$ of sites resisting Landau or maximal Abelian(MA)
gauge fixing in lattice $SU(3)$ gluodynamics is defined and computed. In Landau
gauge such sites clump into $D_f\sim 1$ clusters in the confining phase. In the
finite temperature phase their dimensionality drops to $D_f < 1$, that is,
clustering seems to dissipate. In contrast, MA gauge resistant sites fail to
exhibit a notable tendency to cluster at any temperature.
