Geometry of percolating monopole clusters

We perform detailed measurements of the geometrical characteristics of the percolating cluster of the magnetic monopole currents in the confining phase of the lattice SU(2) gluodynamics. The Maximal Abelian projection is used to define the monopoles. The use of the geometrical language is motivated by recent observations that the full non-Abelian action associated with the monopoles corresponds to point-like particles on the currently available lattices. Scaling behavior of various quantities is observed.