# Test case. The resistors are all one-ohm and form the edges of a # cube; the voltage feed nodes are diagonally opposite corners of the # cube. # # By symmetry, the three corners closest to each feed corner are at # equal voltages, so we can short them together without effect. Then # the network becomes three resistors in parallel between each feed # and its triangle of nearest corners, with six between the two # triangles, for a total resistance of 1/3+1/6+1/3=5/6; of the current # of 6/5, the ones directly connected to the source and sink carry 1/3 # of it, or 2/5; the six others each carry 1/6 of it, or 1/5. # Voltage-supply corners V 111 1 V 000 0 # Resistors feeding corner 000 R 001 000 1 R 010 000 1 R 100 000 1 # Resistors fed by corner 111 R 111 110 1 R 111 101 1 R 111 011 1 # The other six resistors R 011 001 1 R 101 001 1 R 011 010 1 R 110 010 1 R 101 100 1 R 110 100 1