As a model for an anisotropic rubber a multinetwork is considered which is formed by superposition of independentGaussian networks. The strain free state of each single network corresponds to a different state of deformation of a base network. The equilibrium state of the multi-network can be a rather complex state of permanent set and by construction should be highly anisotropic. However, it turns out that the anisotropy exists only an a microscopic scale, on a macroscopic scale the rubber appears to be isotropic with the modulus changed by a scalar factor Γ. Some numerical calculations show thatΓwill in general not exceed 1.3. — An experimental curve for60Co-γ-irradiated isoprene illustrates the elastic behaviour for the special case of a two-network.