The Artifice Among Languages. Automating Geometric Processes Through AI

This paper explores the application of Artificial Intelligence (AI) in design and geometric analysis processes in the CAD environment, with reference to Descriptive Geometry. Although the use of AI in academia is constantly growing, the implementation of artificial intelligence tools for solving geometric problems remains limited. In this context, this research proposes an experimental approach to automate the creation and manipulation of NURBS geometric entities, focusing on the ellipse as a case study. This document details the process of converting curves generated by the ’Archimedes Compass’ in a 3D space into NURBS ellipses. The conversion is achieved through programming in Python and facilitated by ChatGPT. The analysis shows how the mathematical exactness typical of NURBS may not always be compatible with the requirements of certain geometric procedures, making integration with dedicated algorithms and AI tools necessary. In a broader perspective, the work shows the potential of textual programming and AI in simplifying and generalising complex processes, enabling new levels of precision and flexibility in virtual modelling. Finally, the results obtained and possible future perspectives in different areas of drawing and geometric representation are discussed.