Filament mass with respect to its length, mean radius, and overdensity at redshift z = 0 in AGN simulations. Top panels: distribution of mass of the filament M versus its length L (left), mean radius ⟨R⟩ (middle) and overdensity δ + 1 (right) at redshift z = 0. A dashed curve represents a median mass at a given filament range in x-axes. A fitted power law curve is plotted on a mass versus length graph, with a solid line representing the relation M ∞ L^1.7. The red dots represent the discarded filaments with δ < 0. Bottom panels: median mass values of filaments with respect to their length L (left), mean radius ⟨R⟩ (middle), and overdensity δ + 1 (right) at different redshifts. For redshifts, the different colours and lines are reported in the legend (middle plot). All the filaments on the plot are from the AGN simulation.