# T-TT conversion

$$R_1 = 2 \Omega$$, $$R_2 = 3 \Omega$$ and $$R_3 = 6 \Omega$$ are resistors interconnected with one common node while remained with 3 terminals named 1, 2 and 3 which are not externally connected. The equivalent circuit with same resultant resistances to replace them are resistors named $$R_{12}$$, $$R_{23}$$ and $$R_{31}$$ of which each of them is connected to 2 among 3 terminals of exactly 3 distinct combinations or selections. What is the sum of resistances such that $$R_{12} + R_{23} + R_{31}$$in $$\Omega ?$$

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