Figure 3.

Asphericity as a function of the FvK number for several icosahedral shells. The curves labeled 1–4 correspond to shells with the number of triangles equal to N = 60, 180, 420, and 2160, respectively. To the right side of the region where the function A_s(γ) increases rapidly (large values of the FvK number), all shell shapes become significantly icosahedral. For the case of N = 60 (violet curve 1), the inset shows two shells that arise in the limits γ → 0 (a) and γ → ∞ (b). These states correspond to weak dodecahedral and strong icosahedral faceting of the sphere, respectively, and the most protruding vertices of the shells are then simultaneously the vertices of either dodecahedron (violet) or icosahedron (red).