# How to find equivalent resistance with cross resistors?

When there is a resistor connected in a cross pattern, how do you calculate equivalent resistance? For example in the question shown, my best attempt was to find every path which the current could flow through giving a resistance of 4 ohms. However, does that just mean we ignore the other resistors?

• Hint: By symmetry no current crosses the $AB$ line, i.e. the circuit can be cut in two. – Qmechanic May 17 '18 at 14:02
• You can fold it along the line AB and replace the overlapping resistors with R/2 .. since there are two equivalent paths for current to flow, each overlapping resistor will get halved. I think Qmechanic is saying the same thing. – Anurag B. May 17 '18 at 16:48