We describe the results of the largest and most accurate three-dimensional field theory simulations of domain wall networks with junctions . We consider a previously introduced class of models which , in the limit of large number N of coupled scalar fields , approaches the so-called ‘ ideal ’ model ( in terms of its potential to lead to network frustration ) . We consider values of N between N = 2 and N = 20 . In all cases we find compelling evidence for a gradual approach to scaling , with the quantitative scaling parameters having only a mild dependence on N . These results strongly support our no-frustration conjecture .