This article presents a symmetry-based inverse design method to generate complex 2D tilings and supercrystals using DNA origami. The method leverages the symmetries of 2D planar tilings, which are classified into 17 Wallpaper groups, to design interaction matrices that specify the assembly of supercrystals with arbitrary complexity. By exploiting translational and rotational symmetries, the authors develop an algorithmic approach to generate tilings from a large number of subunit species, addressing the challenge of engineering 2D crystals with periodicities larger than the subunit size. The utility of the design approach is demonstrated by encoding specific interactions between triangular subunits and guiding their self-assembly into tilings with various symmetries, using up to 12 unique species of triangles. Gold nanoparticles are conjugated to specific triangles to fabricate supercrystals with lattice parameters up to 300 nm. The study also explores the economic design of tilings, showing that higher symmetries allow for larger unit cells with fewer subunits and that linear supercrystals can be designed more efficiently using linear primitive unit cells. This work provides a simple algorithmic approach to designing periodic assemblies, opening new possibilities for the multiscale assembly of superlattices of nanostructured "metatoms" with engineered plasmonic functions.This article presents a symmetry-based inverse design method to generate complex 2D tilings and supercrystals using DNA origami. The method leverages the symmetries of 2D planar tilings, which are classified into 17 Wallpaper groups, to design interaction matrices that specify the assembly of supercrystals with arbitrary complexity. By exploiting translational and rotational symmetries, the authors develop an algorithmic approach to generate tilings from a large number of subunit species, addressing the challenge of engineering 2D crystals with periodicities larger than the subunit size. The utility of the design approach is demonstrated by encoding specific interactions between triangular subunits and guiding their self-assembly into tilings with various symmetries, using up to 12 unique species of triangles. Gold nanoparticles are conjugated to specific triangles to fabricate supercrystals with lattice parameters up to 300 nm. The study also explores the economic design of tilings, showing that higher symmetries allow for larger unit cells with fewer subunits and that linear supercrystals can be designed more efficiently using linear primitive unit cells. This work provides a simple algorithmic approach to designing periodic assemblies, opening new possibilities for the multiscale assembly of superlattices of nanostructured "metatoms" with engineered plasmonic functions.