Homological Relations Between Graphic-Geometric Descriptive / Projective Models. Principle of Virtual Works in Descriptive Geometry

• Published in: Img journal no. 4; pp. 364 - 381
• Main Author: Andrea Donelli
• Format: Journal Article
• Language: English
• Published: University of Bologna 01.09.2021
• Subjects: descriptive geometry; graphic-geometric modeling; homological relations; reality; virtuality
• DOI: 10.6092/issn.2724-2463/12619

The concept of the model is vast and complex and in its scientific and empirical implications and applications or on an experimental basis refers to various disciplines and knowledge. It essentially concerns questions relating to how to elaborate conjectures, thoughts, observations and geometric graphic operations as well as research spaces where there are considerations that involve and that take as the core of the theme the investigation that directly concerns the concept and the actual implementation of the model. The question relating to the concept of model that can evoke interest and stimulus for further study consists in the fact that thinking about the model in descriptive geometry contains two aspects connected to each other. The first concerns the structure of the representation system, that is the ordering relative to the representation system on which the method is arranged graphically and geometrically; the second concerns the drawn visualization referred to the descriptive procedure of the represented image and attributed to the outlined object. Descriptive geometry virtually creates these elements using the founding principle of projection and section. In fact, modelling through descriptive geometry allows, in its different forms, for the representation of geometric figures constructed through the operations of projection and congruence. This is, therefore, a concept that determines an inseparable unity that allows one to virtually establish the geometric graphic problem parallel to the reality.