Designing isotropic interactions for self-assembly of complex lattices
  We present a direct method for solving the inverse problem of designing isotropic potentials that cause self-assembly into target lattices. Each potential is constructed by matching its energy spectrum to the reciprocal representation of the lattice to guarantee that the desired structure is a ground state. We use the method to self-assemble complex lattices not previously achieved with isotropic potentials, such as a snub square tiling and the kagome lattice. The latter is especially interesting because it provides the crucial geometric frustration in several proposed spin liquids. 
Erik Edlund, Oskar Lindgren and Martin Nilsson Jacobi
cond-mat.mtrl-sci cond-mat.soft