The article develops some topical aspects of geometric shaping of regular discrete structures in various areas of design and architecture in the context of the principle of universality of form. Practical examples of multifunctional use of any abstract geometric models for various design objects are analyzed; at the same time, this analysis was carried out on the examples of author’s developments. The systematization of regular discrete structures according to the most important morphological characteristics into seven groups is carried out: the set of structures that form these groups is distinguished by the highest technical efficiency, manufacturability of production and artistic expressiveness.