This study focuses on an analysis of perceiving the infinite "solid images" derived from the projective transformations of space in a relief perspective, with particular reference to Renaissance theatre scenery. Today it is possible to simulate the projective transformations of the scenic space in a parametric environment, dynamically. This parameterization allows to analyze the effects of visual perception of the scene, through the dynamic control of its projective transformations. The main objective of this study is the exploration of the places of the projective transformation straddling reality and illusion, where the metamorphosis of the space triggers changeable processes of perception.
Cut-stone constructions are made of pre-hewn blocks dry assembled on top of each other. Owing to the formal complexity characteristic of these works, in order to design them it is necessary to have knowledge of the theory of lines, surfaces and their properties, as well as knowledge of the representation methods capable of rendering them on a plane surface. This knowledge set makes stereotomy the science that anticipates, in terms of theory and tools, modern descriptive geometry. These are the reasons for seeking the beginnings of descriptive geometry in stereotomy, that is, the reasons for the transformation of the mason's art of cutting stone into a bona fide science. Frézier's work fits among the last theoretical essays prior to the géométrie descriptive of Gaspard Monge. It is a treaty on solid geometry, devoted to the shape of the bodies, their intersections and the graphical methods necessary to represent them on a plane. In it the author draws up a rigorous theory that puts in place over two centuries of knowledge and experimentation on the subject of cutting stones.
Research P Pr ro od dr ro om me es s o of f D De es sc cr ri ip pt ti iv ve e G Ge eo om me et tr ry y y r ry y i in n t th he e T Tr ra ai it té é d de e s st té ér ré éo ot to om mi ie e b by y A Am Am mé éd dé ée e F Fr ra an nç ço oi is s F Fr ré éz zi ie er r A Ab bs st tr ra ac ct t. . Among the sciences involved in the theorization of descriptive geometry, the stereotomy played a prominent role. The knowledge of the theory of the surfaces of which bodies are made up, their plane sections, their intersections, the representation methods to control the design operations in the plane, is the core of stereotomic design. This makes the stereotomy the forerunner, in terms of theory and tools, of modern descriptive geometry. A seminal essay is the 1737-1739 Traité de stéréotomie by Amédée François Frézier. This e work, published a few years before Monge's Géométrie descriptive, summarize the descriptive geometry's state-ofthe-art in that period. Notably in the first book, Frézier publishes an original study about the intersections between quadric surfaces and the projective-geometrical properties of the fourth-order curves derived from them.
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