This Communication reports complementary strategies to control the face geometry during the self-assembly of DNA polyhedra from branched DNA nanomotifs (tiles). In these approaches, the final DNA polyhedra contain two types of DNA tiles. They are different by either sequence or orientation in the final structures. DNA tiles can associate with each other between the two types of different tiles, but not with the same type of tiles. Thus, each face must contain an even number of tiles. As a demonstration, DNA cubes, whose faces are squares that contain four tiles, have been assembled through these approaches. The cube structures have been confirmed by multiple techniques including polyacrylamide gel electrophoresis (PAGE), dynamic light scattering (DLS), cryogenic electron microscopy (cryo-EM) imaging, and single particle three-dimensional (3D) reconstruction.DNA has been shown as a superb molecular system in selfassembly toward bottom-up nanofabrication. 1 In the last two decades, a range of DNA motifs have been developed, and complicated 1D, 2 2D, 3 and 3D 4 large nanostructures have been fabricated. Recently, we have shown that one-component starshaped DNA motifs can assemble into a range of geometrically well-defined polyhehedra including tetrahedra, dodecahedra, and buckyballs from 3-point-star motifs, 5 and icosahedra and large nanocages from 5-point-star motifs. 6 It is achieved by carefully balancing the flexibilities and the rigidities of the motifs and controlling the DNA concentrations. Each vertex consists of a star tile and the separation between any two adjacent vertices is integral numbers of turns. With such a separation, all tiles face to the same side and the tiles' intrinsic curvatures accumulate at the same direction, which promotes the formation of closed structures instead of extended sheets. One face of the polyhedra can contain any number of vertices. It is straightforward to expand the list of the structures we can achieve by using different building blocks, for example, assembling octahedral structures from four-point-star motifs. However, to further expand the structural scope, novel assembly strategies, in addition to controlling the flexibility and the concentration of DNA tiles, are needed. Herein, we report such strategies to restrict polyhedral faces to consist of only even numbers of vertices and use such strategies to assemble DNA cubes, the symbol for DNA nanotechnology. 4a A cube consists of eight vertices and each vertex can be represented by a three-point-star tile. Each face is a square and consists of four three-point-star tiles. This requirement cannot be met by simply changing the concentration and the flexibility of the DNA tiles. To overcome this problem, we exploit the helical nature of the DNA double helix structure. When being separated by odd numbers of half-turns, two objects along a DNA duplex will be on the opposite sides of the DNA duplex and are related by a 2-fold rotational symmetry. When any two three-point-star tiles are associated through hybridization of...