Calculating Resistance Problem: Equivalent Resistance Between Adjacent Vertices

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To find the equivalent resistance between adjacent vertices of a cube with one-ohm resistors on each edge and body diagonals, one must establish nodal equations that represent the circuit. The process involves analyzing the connections and applying principles of series and parallel resistances, which can become complex due to the number of equations involved. A systematic approach is recommended, focusing on identifying patterns or series combinations to simplify calculations. Starting with basic nodal analysis can help in setting up the necessary equations. This problem requires careful consideration of the cube's geometry and resistor arrangement to derive the correct equivalent resistance.
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Problem:
Each edge of a cube is built with a one ohm resistor. The body
diagonals are also built with one ohm resistor each. Find out the
equivalent resistance between any two adjacent vertices.

Iam not able to get this problem at all. Please help me. its urgent.

please help------------------
 
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This looks pretty time consuming, and I don't really have the time or motivation to work it out to be honest :), but I will tell you the general procedure for these types of things. You need to create nodal equations, see how they relate, and then solve. You'll have a large number of equations to piece together, double digits, but you should be able to catch on to some kind of series or clever way to combine them. It's just like getting the req for your basic parallel or series resistances, just on a larger scale.
 
can u please elaborate a little.give me some starting eqn or something so that i can start the problem. please help.
 
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