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Mister Resistor (Posted on 2006-11-03) Difficulty: 2 of 5
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.

See The Solution Submitted by Larry    
Rating: 3.5000 (2 votes)

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Some Thoughts re: Solution | Comment 2 of 7 |
(In reply to Solution by Bractals)

Without following the logic (Physics is a very-long-time-ago subject for me), based on the recurrence by Bractals, Q should be 1+√3 -- you get this by substituting Q for all Q(...) and solving the resulting equation.
  Posted by Federico Kereki on 2006-11-03 11:01:12

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