# Resistance In A Cubic Shape

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 $$a+b$$.

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