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Name: Julius
Status: student
Age: N/A
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Date: N/A
Question:
On an infinite grid of one Ohm resisters what is the resistance between two nodes one knights move away? My friend asked me this question and I had no idea, so I asked my AP Physics teacher. He did not have an answer either so I turn to the plethora of knowledge that is the Internet.


Replies:
http://imgs.xkcd.com/comics/nerd_sniping.png

This is a classic problem in physics (it has its own *cartoon*!), so rather than repeat the solution here, I shall refer you to one of several solutions easily found through almighty Google:

http://www.geocities.com/frooha/grid/grid.html

Incidentally, may I suggest you seek revenge on your friend by asking him/her to calculate the same resistance, but for a 3D grid. You may find this useful in judging the response: http://arxiv.org/abs/cond-mat/9909120

Other references of note:

http://f2.org/maths/resnet/ (#10) http://mathworld.wolfram.com/news/2004-10-13/google/

Look out for trucks!

Burr Zimmerman


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