Fig. 1: Geometric frustration of polyhedra and polygons, and tetrahedral NPs.
From: Frustrated self-assembly of non-Euclidean crystals of nanoparticles
a Five tetrahedra can almost form a pentamer; 20 tetrahedra can almost form an icosahedron. b A 2D example of geometric frustration: pentagons do not tile Euclidean surface, but can form a regular crystal (dodecahedron) on the 2-sphere S2. c CdTe tetrahedral NPs (yellow tetrahedra) are coated with a layer of chiral ligands (l- or d-Cysteine). The blue-shaded areas represent the soft interaction regions where coordination bridges between ligands can form. d Elastic deformations in this continuum theory represent distortions of the soft ligand interactions.
