Recently, several examples of traversable wormholes supported by well-controlled quantum effects and respecting reasonable energy conditions have been constructed. In this talk, I will describe generalizations of such solutions involving more than two mouths in the same asymptotic region. These wormholes may be traversed between any pair of mouths, are four dimensional, and are asymptotically flat up to the presence of possible magnetic fluxes or cosmic strings that extend to infinity. I will also discuss associated quantum entanglement for these solutions.