Interactive visualization of the basin of attraction field, the “ibaf-graph”, is a new feature in DDLab with the same interactive functions as the “network-graph” and “jump-graph”. These functions allow any node and its connected fragment to be dragged/dropped with the pointer as a graphic animation with elastic links. The fragment itself depends on the node’s link setting by inputs, outputs, or either, and a distance in link-steps. Further options include graph geometry, rescaling, node display, and link editing. This article describes the three graph types, network/ibaf/jump, their selection, enhanced functions, and applications to cellular automata, discrete dynamical networks and random maps.