Geometry of modeled filaments. R_vir, 1 and R_vir, 2 are virial radii of the clusters, W_fil and R_fil are filament width and radius respectively, D_phys is the 3D physical distance between clusters, and θ is the inclination angle of the filament with respect to line-of-sight. After projected onto the focal plane, δ_proj is the separation between cluster centers, ω_fil is the filament width, and λ_fil is the filament length after masking out virial regions of the clusters. The shaded areas represent the observed portion of the filament.