Frequency distribution of |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). Only close halo pair (i.e., CHs separated from their NN1 by 1 < R_isol/r_vir < 4 are considered for this figure. Upper panel: close halo pairs where the CHs are separated from their NN2 by 1 < R_isol2/r_vir < 4. Lower panel: close halo pairs where the CHs are separated from their NN2 by 20 < R_isol2/r_vir < 63.