The result is 5/6 ohms
The circuit can be re-drawn as three 1 ohm resistors in parallel(=1/3 ohm), in series with 6 1 ohm resistors in parallel (=1/6 ohms), and then another 3 1 ohm resistors in parallel (=1/3 ohms).
The reason this can be done will become apparent once you re-draw the circuit, and is based on the fact that all the resistors are identical.
