Symmetry controls the face geometry of DNA polyhedra.

Two complementary strategies have been developed to control the face geometry during the self-assembly of DNA polyhedra from branched DNA nanomotifs (tiles). In these approaches, any two interacting tiles are not equivalent in terms of either sequence or orientation; thus, each face must contain an even number of tiles. As a demonstration, DNA cubes, whose each face contains four tiles, have been assembled through these approaches.