The large-scale distribution of galaxies and galaxy clusters in the un
iverse can be described in the mathematical language of multifractal s
ets. A particularly significant aspect of this description is that it
furnishes a natural explanation for the observed differences in cluste
ring properties of objects of different density in terms of multiscali
ng, the generic consequence of the application of a local density thre
shold to a multifractal set. The multiscaling hypothesis suggests ways
of improving upon the traditional statistical measures of clustering
pattern (correlation functions) and exploring further the connection b
etween clustering pattern and dynamics.