Why is the total resistance of a cube with each side replaced by a 1 ohm resistor 5/6 of 1 ohm?

Question

i researched on the net, and it said "Consider a cube, each edge of which has been replaced by a resistor. For example, determining the resistance between two opposite vertices requires matrix methods for the general case. However, if all twelve resistors are equal, the corner-to-corner resistance is 5⁄6 of any one of them." -but why?

Answer 1

Using ohm's law that is what it works out to.  The set-up takes some thinking but after that it is just cranking out the numbers

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