 Wolf construction is a mathematical model used to predict the equilibrium shape of nanoparticles based on their surface energy. It has been applied to a variety of materials including metals, alloys, semiconductors, ceramics, polymers and biomaterials. Recent advances have included the incorporation of active sites for heterogeneous catalysis, ligand-protected nanoparticles generated as colloidal suspensions, and nanoparticles of complex metal hydrides for hydrogen storage. This article was authored by Giorgio Stibb-Armparis, Spignov-Loziana, Nurya Lopez and others.