I am not sure how to treat the extra connections K12 and K34.
My first guess would be (R1 and R2) are parallel and so are (R3 and R4) and (R5 and R6) ,so
R_{total}= {R1*R2} /{R1+R2} +...
Or maybe the behaviour is like this:
(R1, R3, R5) are in series , and (R2 R4 R6) are, thus
R_{total}=...