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> bc who simplifies by shorting vertices that have the same potential
They don't assign it in electrical engineering class,
because cubical resistor networks have no engineering
significance.
To repeat: this problem has got nothing to do
with electronics. It has everything to do with
symmetry.
So here is how I would answer the original problem:
-- Electrodes at the corners are "special" points.
-- Threefold symmetry about the special points.
-- Do the sub-problem: R + two Rs in parallel + R
-- Three copies of the subproblem makes 2.5 thirds.