There is an infinite ladder-shaped grid of 1Ω resistors connecting adjacent nodes as follows:
What is the electrical resistance between (a) and (b)? Note: in the image, every resistor is 1Ω.
To tell the truth, I can not answer your question. But I hope I will know how to do this in the near future as I am writing now a Physics project about infinite ladder-shaped grids. I am disappointed now with no knowing how to write synopsis for project Maybe the Internet will tell me something about this.