Mean ellipticity (right panel) and mean connectivity (left panel) as a function of the mass, separately considering three subsamples of groups and clusters with different mass assembly histories and dynamical status: 620 early-formed low-accreting and relaxed in red, 360 early-formed low-accreting and unrelaxed in yellow, and 482 late-formed fast-accreting and unrelaxed in blue. In gray we show the point distribution of the full sample.