Buckling in liquid emulsion droplets. (A–D) For small γ, the frozen interface’s elasticity dominates. Small droplets become icosahedra (bright field: A, simulated: B), exhibiting five vertex-emanating edges (lines). Confocal microscopy reveals regular-icosahedron-identifying hexagonal (C) and pentagonal (D) cross-sections. Large droplets, having significant surface-area A and -energy , remain spherical (bright field: E, simulated: F), but show protrusions formed by defect buckling (arrows in E).