Abstract: The resistance between two grid points on tubular resistance network is calculated exactly by using the periodic condition. The function between resistance of any two grid points on tubular resistance network and the period of tubular network is established. Then the influence of the periodic condition on the resistances is analyzed by constructing a three-dimensional parameter space. Meanwhile, it is pointed out that infinite plane and infinite ladder shaped resistance networks are some special cases of the infinite tubular resistance network.

Key words: periodic condition, tubular resistance network, resistance