If I am thinking correctly, the answer is readily apparant with 2 seconds of thinking and almost no calculations. "Distance" from one conder to the opposite is 3 resistors = 3 ohoms. But there are 4 different paths which are all equal by symmetry -- so like 4 3-ohm paths in paralle or 3/4 ohms total.
Took me 100 times as long to write it out as to solve it...
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Not following the rules. You need to analyze the circuit. You have a parrallel circuit composed of one resistance on the bottom and a combination on the top. The combination is a series circuit of a single resistance and a parralel sub-circuit of 2 in parrallel.
You need to solve the parallel sub-string first, and add the series component to it, then solve the resulting parallel string.
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For parallel circuits 1/r1 + 1/r2 +1/r3 = 1/RT Solve the parallel portions of series strings first. Then add the series strings, then solve the remaining/resulting parallel string.
There are also online parallel resistance calculators that make the job dead simple - if you remember the rules.