Investigation of the behaviour of triangulations on simplicial structures

The problem of representation of topological models in the form of triangulation of cubic complexes is related to the character and behaviour of the triangulation in the $n$-dimensional space. As the base for analysis of these characteristics one can take the fundamental statistical information which gives the possibility to synthesise typical features of triangulation in model spaces of various dimensions. In this paper, we suggest an approach to solution of this problems in the case of analysing statistical features of triangulation in the space of dimension at most 4 with the use of binary coding.