As the genetic information storage vehicle, deoxyribonucleic acid (DNA) molecules are essential to all known living organisms and many viruses. It is amazing that such a large amount of information about how life develops can be stored in these tiny molecules. Countless scientists, especially some biologists, are trying to decipher the genetic information stored in these captivating molecules. Meanwhile, another group of researchers, nanotechnologists in particular, have discovered that the unique and concise structural features of DNA together with its information coding ability can be utilized for nano-construction efforts. This idea culminated in the birth of the field of DNA nanotechnology which is the main topic of this dissertation. The ability of rationally designed DNA strands to self-assemble into arbitrary nanostructures without external direction is the basis of this field. A series of novel design principles for DNA nanotechnology are presented here, from topological DNA nanostructures to complex and curved DNA nanostructures, from pure DNA nanostructures to hybrid RNA/DNA nanostructures. As one of the most important and pioneering fields in controlling the assembly of materials (both DNA and other materials) at the nanoscale, DNA nanotechnology is developing at a dramatic speed and as more and more construction approaches are invented, exciting advances will emerge in ways that we may or may not predict.