
Purpose. The article outlines the basic theoretical concepts of the general concept of clustering geometric objects, analyzes some areas of its effective practical application. Methodology. System applied geometry is considered as a form of organization of the methodological core and theoretical foundations of applied geometry and the practical implementation of its tools, based on the use of the principles of systems theory. The process of designing and optimizing cluster organizational structures for energy efficiency is considered as a complex project. Findings. A comparison was made of the criteria of systemicity and the means of their achievement, as a result of which the requirements for methods of geometric modeling as the main operational element of applied geometry were formulated. It is determined that the main operational element of applied geometry as an open oriented complex system is the method of geometric (graphic) modeling. Originality. The advantages of a systematic approach to geometric (graphical) modeling are demonstrated by the example of the construction and research of a complex socio-technical system such as cluster organization (an energy-efficient adaptive architectural and construction cluster). Practical value. The elements of the geometric knowledge base, which are related to the characteristic local tasks of designing a cluster organizational structure, are considered. This is one of the implementations of invariant systems of geometric calculations that have a potentially universal use.
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