Frequency distribution of the |cos(θ)|, where θ is the angle between the major axis of the CH and the major (red), intermediate (green), and minor (blue) axis of its first nearest neighbor (NN1). We show two extreme isolation bins: close halo pairs where the CHs are separated from their NN1 by 1 < R_isol/r_vir < 4 (upper panel), and extremely isolated halos with CHs separated from their NN1 by 30 < R_isol/r_vir < 70 (lower panel).