Complex structure of geometric system and method of geometric modeling

This article explores the intricate architecture of geometric systems and introduces an advanced method for geometric modeling. By analyzing the hierarchical and interconnected nature of geometric entities, the study presents a comprehensive framework that enhances the precision and flexibility of modeling complex shapes and structures. The proposed method integrates algebraic, topological, and computational techniques to effectively represent, manipulate, and visualize geometric data. Applications of this approach demonstrate improved efficiency in computer-aided design, engineering simulations, and digital graphics, highlighting its potential to advance the state of geometric modeling in both theoretical and practical domains.