Figure 5. Transition patterns for 150 fish.

(A) Density plot of the smallest distance from the center of mass of the fish shoal to the tank boundary as a function of rotation and polarization (d_min = 26 and d_max = 52 cm). The overlaid arrows are the averaged trajectories of all transitions in the rotation-polarization phase space. (B–D) Density plots of transitions from polarized to milling state (B), from polarized to swarm state (C) and from milling to swarm state (D). Overlaid the density plots are the corresponding velocity fields of the transition data (in the rotation-polarization phase space). Plots of the reverse transitions and group sizes 30, 70 and 300 are provided in SI.