Set of small symmetric shells formed in the similarly labeled shaded regions in the parameter space plots in Figs. 4 and 11. (Triangles) Subunits. The pentamers (points with five triangles attached) appear darker (red online) in the figure. The shells (A–H) have ns = 20, 24, 26, 28, 36, 50, 60, and 80 subunits or N = 12, 14, 15, 16, 20, 27, 32, and 42 vertices (pentamers and hexamers), respectively. It should be noted that the sets of shells (E) and (E∗), and (H) and (H∗), have the same number of subunits but different symmetries. The symmetries of the shells (left to right and top to bottom) are icosahedral, D6, D3; tetrahedral, D6, D2, D5; and icosahedral, S6. To see this figure in color, go online.