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What is the resistance of a 'cube' of equal resistors when measured across opposite diagonal corners. The answer is 5R/6.
To figure this out I had to sketch the topology on a bit of paper and then use SPICE. I could't come up with an analytical solution without looking it up.
See link for more info.
https://www.lockhaven.edu/~dsimanek/puzzles/hypercube.htm
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