  We study the asymptotic scaling properties of domain wall networks with three
different tensions in various cosmological epochs. We discuss the conditions
under which a scale-invariant evolution of the network (which is well
established for simpler walls) still applies, and also consider the limiting
case where defects are locally planar and the curvature is concentrated in the
junctions. We present detailed quantitative predictions for scaling densities
in various contexts, which should be testable by means of future
high-resolution numerical simulations.
