Projected DM density maps of three simulated clusters at z = 0 (left column), with total masses M_200c = 2 × 10¹⁵ M_⊙ (top), 9 × 10¹⁴ M_⊙ (middle), and 2 × 10¹⁴ M_⊙ (bottom), and their z = 2.2 progenitors (right column). The cyan circle at z = 0 traces the R_200c radius of each cluster, the one at z = 2.2 defines the PC region as defined in the text. DM particles at z = 2.2 that collapse within the R_200c radius by z = 0 are plotted in cyan. Densities are computed in pixels of size 15 kpc in the top panel and 10 kpc in the middle and bottom panels.