Correlations between Δm₁₂ (top panel), M_r, BCG (middle panel), and L_X (lower panel) and the distance to the filament (left column) in units of R₂₀₀. Same parameters correlated with the distance to the intersections (right column). The dashed horizontal line in the left panel represents 5 R₂₀₀, which is the distance that we used to separate FGs that are close to filaments (D_fila <  5 R₂₀₀, blue diamonds) from those that are not (red stars).