Plots showing the distribution of the galaxies in the phase space, and some of their properties. The top panel shows the phase space for the SAMI-Fornax, ATLAS^3D, and Fornax3D samples. This phase space is divided into eight different zones – according to Pasquali et al. (2019) – that represent the infall time of the galaxies in those zones. For a better contrast, we marked zones 2, 4, and 6 with black lines. From green to blue, the infall times in Gyr change according to the top colour bar. The middle panel shows the stellar mass of the galaxies as a function of projected distance, with a horizontal black dashed line that separates the Fornax’s dwarfs from the rest of the galaxies. In the bottom panel, we present the t₉₀ of the galaxies as a function of projected distance, with a dashed red line fitting the trend for giants of Virgo, a red line for the Fornax3D galaxies, and an orange line fitting the trend for dwarfs. These relations of t₉₀ with the environment were highlighted in Paper IV. In all panels, we show the SAMI-Fornax dwarfs with circles, while the massive galaxies for Virgo and Fornax are marked with crosses and triangles, respectively. All symbols are coloured with t₉₀, the value of which is indicated by the vertical colour bar.