Calling a mathematician!

So, I saw this the other day:
Xkcd Infinite Resistor Grid
I’m sure this problem has a solution. There’s an infinite number of variables, but there’s a more infinite number of equations that relate them together, so I’d imagine in principle there’s a solution.

Of course, infinity is weird, so I guess that might not be true? Clearly, I’m going to try solving this though.

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