TO THE QUESTION OF GEOMETRIC MODELING OF ORGANIZATIONAL CLUSTER STRUCTURES IN ORTHODOXY

Abstract

The current stage of development of our state is characterized by a return to the Christian worldview after many years of forced atheism. Therefore, in many cities and villages of Ukraine, temples and monasteries are being revived, religious buildings and monuments are being intensively repaired, reconstructed and built, and places of pilgrimage are being arranged, and so on. At the same time, there are significant socio-economic changes, in particular, new market conditions, land, medical and educational reforms, decentralization of public administration, etc. These facts emphasize the high spiritual and material dynamism of today's life. Its complexity is increasing due to the COVID-19 pandemic, the armed conflict with Russia and other common points. In addition, everyone usually has personal problems.
 The Orthodox Christian religion has always proclaimed love for one's neighbor as a great moral value. Various human activities, including the above, are characterized by the widespread use of information technologies. In many cases, one of the foundations of which is computer graphics. The advantage of geometric models compared to analytical ones is their simplicity, clarity, ease of use. The development of new mathematical tools, which are aimed at the effective practical implementation of spiritual activities among the population, is a godly task. On this basis, the selected topic can be considered quite relevant.
 The main purpose of this publication is to highlight the proposed methodology for the automated reproduction of organizational cluster structures in Orthodoxy. The obtained scientific applied achievements represent a developed approach to modeling church management and related religious territorial Christian communities in the form of dioceses and parishes. On the basis of the given strategy new complex geometrical models for optimization of activity of orthodox churches are constructed. This concerns the more rational placement of temples and chapels, the definition of the proper boundaries of parishes and dioceses, the determination of the need for their unification or liquidation, the establishment of new ones, and so on. The paper outlines the prospects for the necessary further research.