1. The problem statement, all variables and given/known data There is an infinite 2D mesh of conducting wire. Resistance between any two consecutive junctions is R. What is the equivalent resistance between any two consecutive junctions? 2. Relevant equations 3. The attempt at a solution Every junction is connected to four points and one of it is connected to the required point. For example, if I start from 0,0 then I have to find the resistance between 0,0 and 1,1. Two wires can go to 1,1 by first moving up and then right or moving right and then up, each step having resistance R. But there are infinite ways to reach 1,1. So wouldn't the resistance be infinite?