He demonstrated that DNA strands could be designed to self-assemble into complex shapes, such as cubes, tetrahedra, and other polyhedral. This approach, known as structural DNA nanotechnology, has ...
They sit on the corners of tetrahedra which share corners infinitely in 3 dimmensions, an array known as a Kagome net. The image below shows only the Al atoms sitting on the corners of tetrahedra. Now ...
Those 4 are circled in blue. Next we add the Aluminum atoms, connecting their tetrahedra. You'll notice that the 4 outer tetrahedra, and the 4 inner Mg atoms sit on spots mirroring eachother. Lastly ...