  Building on a recently introduced inverse strategy, isotropic and convex
repulsive pair potentials were designed that favor assembly of particles into
kagome and equilateral snub square lattices. The former interactions were
obtained by numerical solution of a variational problem that maximizes the
range of density for which the ground state of the potential is the kagome
lattice. Similar optimizations targeting the snub square lattice were also
carried out, employing a constraint that required a minimum chemical potential
advantage of the target over select competing structures. This constraint
helped discover isotropic interactions that meaningfully favored the snub
square lattice as the ground state structure despite the asymmetric spatial
distribution of particles in its coordination shells and the presence of
tightly competing structures. Consistent with earlier published results
[Pi\~neros et al. J. Chem. Phys. 144, 084502 (2016)], enforcement of greater
chemical potential advantages for the target lattice in the interaction
optimization led to assemblies with enhanced thermal stability.
