The comprehension of the space between axonometry and perspective

Science and art had often had profitable relationships throughout history. As it is well known, the turning point to the contemporary era must be attributed to Gaspard Monge at the end of the “Age of Enlightenment” and to Jean Victor Poncelet in the XIX century, who arrives to the scientific generalization of the Projective Geometry. An original approach to the theme of representation was made by the German scholar Gustav Adolph von Peschka. He published in Hannover, in 1868, with Emil Kounty, an interesting geometry treatise entitled Freie Perspective in ihrer Begründung und Anwendung; the intent was to bring out all the methods of representation to a single matrix, the central projection, especially with regard to what was beginning to be the most used method by the architects of the time: the axonometry. For the purpose of knowledge it is interesting to note that the scientific debates of this kind, now almost fallen into the cultural oblivion, may still be a fertile ground for the comprehension of the mathematicalgeometric space, also from the academic point of view if one analyzes it under the light of the experiments carried out by the new technologies. We intend to focus our thoughts to the actual geometric configuration of these models, organizing the virtual space through its basic elements, purchasing in this way the required proficiency in the act of representation.