Infinite 2D Square of 1Ω Resistors January 20, 2008
Posted by Thor in humor, math.2 comments
I’ve never generally really been much good at math; geometry is a little easier, but algebra, Fourier techniques, etc. don’t come easy. This problem is posed as “On this infinite grid of ideal one-ohm resisters, what is the equivalent resistance between the two marked nodes?”
I’ve seen this image a few times, but most recently as part of a comic titled “Nerd Sniping“.
There is a lengthy discourse on this problem at http://www.geocities.com/frooha/grid/node2.html, but in the end it appears to boil down to “R=2/π”, or 0.63661977236758134307553505349006 Ω. Approximately. About. Something like that.
