  The 't Hooft criterion leading to confinement out of a percolating cluster of
central vortices suggests defining a novel three-dimensional gauge theory
directly on a random percolation process. Wilson loop is viewed as a counter of
topological linking with the random clusters. Beyond the percolation threshold
large Wilson loops decay with an area law and show the universal shape effects
due to flux tube fluctuations. Wilson loop correlators define a non-trivial
glueball spectrum. The crumbling of the percolating cluster when one periodic
direction narrows accounts for the finite temperature deconfinement, which
belongs to 2D percolation universality class.
