text: Although the orthogonal systems are predominantly employed within modern technologies, some general systems can be found principally in nature. Progress in the field of nanotechnologies based on a condensed matter will reach its limit at a certain moment, which may be caused by material limits or limits of manufacturing technologies. This limitation will affect both approaches, the “top-down” as well as the “bottom-up”. Another way to obtain a nanostructure will be based purely on nature and its ability “to grow”, which requires a deep understanding of the world of biology. This “natural approach” is closely connected with a precise mathematical description which is necessary for employment of both the analytical and synthetic tools which are presently available within the frame of current technological methods. In this paper, we present an analysis of a model based on a spiral arrangement on a series of elements.