Percolation cluster fractal dimension
= Percolation cluster fractal dimension
{title2=$D_f=d-\beta/\nu$}
The critical cluster mass-radius scaling exponent $D_f$ describes clusters of mass roughly $r^{D_f}$ at radius $r$. The displayed relation is the below-upper-critical-dimension scaling prediction, not an identity from the definition. In the planar scaling description $D_f=91/48$.