# What is the resistance between two points a knights move away on a infinite grid of 1-ohm resistors

On an infinite grid of ideal one-ohm resistors, what's the equivalant resistance between two nodes a knights move away?

(please fix the tags, I didn't really know where to put it)

-
Does anyone else think of Mass Ave. and MIT when looking at the cartoon? –  Pete L. Clark Dec 3 '10 at 5:35
You might also awnt to ask this on physics.stackexchange.com –  Frédéric Grosshans Dec 3 '10 at 10:08
Has anyone generalized this to a triangular hex-lattice yet? –  deoxygerbe Dec 4 '10 at 23:46
It's really a combinatorial problem more than a physics problem. –  Raskolnikov Dec 21 '10 at 14:19

I believe the answer for your case is $\displaystyle \dfrac{4}{\pi} - \dfrac{1}{2}$.