Nanoworld is the part of Space in which, from atoms, by self-assembly formed substance, living or nonliving.Among the 25 key scientific problems for chemists of the 21st century, published in the journal "Science," there was a question: "How far can we push chemical self-assembly?" What then are the main features of self-assembly?Two traditional rules are known: (1) like goes with like and (2) self-assembly is controlled by energyfavorable reactions and local order.The process of the self-assembly of complex systems underlies nanostructure technology, because, at the size level of 30-50 nm, planned extrinsic assembly (microfabrication, electron-beam etching, etc.) is too complex and expensive and thus, for mass production, we must rely on self-assembly from the outset to obtain macroscopic structures "top-down" or "bottom-up."Ideas about the formation of complex structures by the self-assembly of individual components through their local interactions, rather than by the influence of external factors, underlie the principles of "cellular automata." Mathematical cellular automata provide a powerful analogy ready to be materialized.We must note that, during the natural synthesis of biological objects, DNA codes include error correction, and, therefore, in order to design the self-assembly of