# Resistance In A Cubic Shape

**Electricity and Magnetism**Level 3

Find the equivalent resistance between \(A\) and \(H\) of the circuit shown in the figure if the resistance of each labeled edge in the figure is \(2 \Omega.\)

If answer is in the form \(\dfrac{a}{b}\), where \(a\) and \(b\) are co-prime positive integers. Find \(a+b\).