The resistance of all the wires between any two adjacent dots is $R$. The equivalent resistance between $A$ and $B$ as shown in the figure is

The equivalent resistance between points $A$ and $B$ is: 

The maximum and the minimum equivalent resistance obtained by combining $n$ identical resistors of resistance $R$, are $R_{\max }$ and $R_{\min }$ respectively. The ratio $\frac{R_{\max }}{R_{\min }}$ is equal to