Fig. 1. Nonregular cylindrical m × n resistor network, where m and n are the numbers of resistors along the cycle and horizontal directions respectively, with unit resistors r and r₀ in the respective horizontal and loop directions except for two arbitrary boundary resistors of r₁ and r₂.

Fig. 2. Resistor sub-network with resistors and potential parameters.

Fig. 3. m × n cobweb network with arbitrary left boundary resistor of r₁.

Fig. 4. Arbitrary m × n globe network, where m and n are the number of grids along the cycle direction and horizontal direction respectively, with the resistors r and r₀ in horizontal direction and loop direction, respectively.

Fig. 5. 3D □ × n network with resistors r and r₀ in respective horizontal and vertical directions except for r₁ and r₂ on the left and right edges.

Fig. 6. 3D Δ × n network with resistors r and r₀ in the respective horizontal and vertical directions except for r₁ and r₂ on the left and right edges.

Fig. 7. 3D graph showing equivalent resistance R(A₀, A_k) changing with h and x in Δ × n network, and resistance R(A₀, A_x) increasing with augment of n and x, where R(A₀, A₀) = 0 when x = 0.

Fig. 8. 3D graph showing equivalent resistance R(A₀, B_k) changing with h and x in Δ × n network, and the resistance R(A₀, B_x) increasing with argument of n and x, where R(A₀, B₀) > 0 when x = 0.

Fig. 9. 3D graph showing equivalent resistance R(A₀, B₀) changing with h and n in Δ × n network, R(A₀, B₀) decreasing with the increase of n, and R(A₀, B₀) increasing with argument of h except for n = 0.

Fig. 10. 3D graph showing equivalent resistance R(A₀, A_k) changing with h and x in □ × n network, and resistance R(A₀, A_x) increasing with augment of n and x, where R(A₀, A₀) = 0 when x = 0.

Fig. 11. 3D graph showing equivalent resistance R(A₀, C_k) changing with h and x in □ × n network, and resistance R(A₀, C_x) incresing with augment of n and x, where R(A₀, C₀) > 0 when x = 0.

Fig. 12. Crystal lattice with resistors r and r₀ in respective horizontal and vertical directions.