ANALYSIS OF RECENT RESEARCH ON COMPLEX SPATIAL FORMS

Abstract

The work is devoted to the analysis of recent research on complex spatial forms in various fields of science and technology. Currently, in geometry, computer modeling, and engineering, special attention is focused on the study of complex geometric objects (forms), particularly spatial ones. The main role in such works is occupied by the study of polyhedral, lattice, and interconnected structures. In modern scientific works, these objects are considered from the point of view of both their theoretical utility and practical use. Today, geometric design, modeling, and application of complex spatial structures are relevant for various fields of human activity and constitute a fundamental problem that has both theoretical and applied significance. The growing complexity of the needs of science, education, and technology, caused by the rapid development of human society, forces researchers to look for new ways of using and methods of implementing complex spatial forms to solve a wide class of problems. Understanding such structures is fundamental for studying their characteristics and properties, which can be important for both technical and pedagogical sciences. Scientific works devoted to this topic serve as a basis for further research in the fields of higher mathematics, computer science, engineering, manufacturing industry, architecture, design, etc. To confirm the relevance of the topic, a review of recent literature related to the study of complex geometric objects in space, their characteristics, and recommendations for practical application is proposed. The article analyzes and attempts to systematize works on the topic. The article aims to reveal the main directions of research pursued by modern scientists. Particular attention is paid to the fields of geometric modeling, computer graphics, and other practical sciences aimed at the visualization of complex geometric structures.

Keywords: complex spatial forms, polyhedron, polyhedral structure, lattice structure, interconnected structure, computer graphics, computer modeling, additive printing.