Cumulative distributions of distances from filaments (left panel) and intersections (right panel). Blue lines mark the systems with Δm₁₂ < 0.5 mag, red lines systems with 0.5 ≤ Δm₁₂ < 1.0 mag, green lines systems with 1.0 ≤ Δm₁₂ < 1.5 mag, and orange lines systems with 1.5 ≤ Δm₁₂ < 2.0 mag. In both panels, the dashed black line is the cumulative distribution for all non-FG systems (Δm₁₂ < 2.0), while the violet line corresponds to FGs (Δm₁₂ ≥ 2.0 mag). The numbers within parentheses indicate the size of the samples for each cumulative function. The horizontal dashed line indicates the 50 percentile of the distributions.