Symmetry of life in crystals

Abstract

The results of the study of quasicrystals matrix models are presented, which confirm the hypothesis that each quasicrystal has corresponding quasiorthogonal matrix associated with it, the golden ratio matrix meets the D.Shechtman quasicrystal. It is concluded that for the ordered structures consisting of two endlessly recurring units, a modular two-level golden ratio matrix may be a model reflecting the structure elements. The main interest here is in the indication of the prospects: both the materials and the matrices can have different structures, and the matrices can be involved in predicting the existence and then in analyzing the materials.