ABSTRACT
This chapter provides a coherent exposition of the constructions and results it contains that served as a stimulus for writing the monograph. It explains an infinite complex whose special structure allows us to regard it as a combinatorial analog of the Euclidean space. It is implied that this structure makes it possible to define the analog of the metric operation and achieve the far-reaching parallelism between discrete and continual constructions. It is devoted to the pedantic study of a two-dimensional case, including the limiting process. The chapter presents the discretization of equations and of certain relations following from them, which were presented in the hydrodynamic part. It is devoted to a brief description of an alternative approach to the combinatorial modeling of the Euclidean structures, an approach which has some advantages as well as drawbacks.
