Cluster phase-space diagram, showing excess for tailed radio galaxies in merging and relaxed clusters. We show NATs and WATs in orange and blue markers, respectively, and tailed radio galaxies in relaxed and merging clusters with respectively diamonds and squares. Panel (a): Phase-space diagram showing WATs and NATs. In the background, the numbers of galaxies from HeCS-SZ (Rines et al. 2016) are given as a reference. The dashed lines show the difference between the four different phase-space regions. Panels (b) and (c): Excess for NATs and WATs as defined in Equation 2. The dashed line represents no excess. For every phase-space region, the left marker shows the excess for tailed radio galaxies in relaxed clusters and the right the excess for tailed radio galaxies in merging clusters. The error bars are the 1σ statistical uncertainty following Roberts et al. (2021a).