Symmetry controls the face geometry of DNA polyhedra.

@article{Zhang2009SymmetryCT,
  title={Symmetry controls the face geometry of DNA polyhedra.},
  author={Chuan Zhang and Seung Hyeon Ko and Min Su and Yujun Leng and Alexander E Ribbe and Wen Jiang and Chengde Mao},
  journal={Journal of the American Chemical Society},
  year={2009},
  volume={131 4},
  pages={1413-5}
}
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.