Composite materials exist, which are composed of elongated conductors and granular insulators. For the effective conductivity of such materials, the ordinary effective medium theory and the random resistor network models cannot be efficiently applied. As an approach to the problem, we compute by the finite element method the effective conductivity of triangular, square, and hexagonal channeling textures, composed of continuous conductive channels and islands of insulators. As shown by the results, the effective conductivities of the three patterns are nearly equal when the channel widths of the textures are the same. And compared with a granular conductor‐insulator composite material, the three textures have a very conductive geometrical configuration, because neither island nor dead end conducting regions exist in the three patterns. If we accumulate such data for the effective conductivity of materials with a definite composite structure, we can predict the outline of the geometrical configuration of a composite material or inhomogeneous medium by measurement of the conductivity and volume components.