Using information systems to provide preliminary information about the economic goal in solving the problem of engineering design

When solving geometric design problems, specifying initial information about material objects can be approached in several ways, influenced by the level of computerization and the nature of the problems. A uniform computing base for representing information in mathematical models of real-world objects is essential for generating visual representations on displays, plotters, printers, etc. Therefore, a formal model for information representation in the object's mathematical model should be single-valued, constructive, non-redundant, informative, compact, computationally convenient, and complete. This paper concludes that geometric information as given in (7) uniquely identifies a φ-object in space R2.This uniqueness is guaranteed due to the principles of completeness and non-redundancy inherent in the model's construction. Further development in this area should focus on extending this formal model to three-dimensional space R3, addressing the complexities introduced by the additional dimension while maintaining the desired properties of the model. This extension would involve investigating efficient algorithms for representing and manipulating 3D geometric information, ensuring computational feasibility for practical applications in CAD/CAM systems and other related fields. The challenge lies in balancing the need for a comprehensive and detailed representation with the constraints of computational cost and memory usage. Future research should also explore the integration of this geometric model with other relevant object properties, such as material characteristics and physical constraints, to create a more holistic representation of real-world objects within the mathematical model.