Abstract
This research is aimed at the analysis, communication and dissemination of projective principles at the basis of perspective through the construction of digital parametric models and physical models made with rapid prototyping techniques. The interest in perspective derives from its transversal nature, because it permeates the representation of reality in all its communication forms. The experimentation describes the perspective in its general form, namely solid form, and in the particular cases that correspond to the plane perspective and to the real space. It involves the realization of the physical models starting from the virtual models, with which the observer can interact, observing perspective from inside and outside, thus revealing the reasons of its illusory power.
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Notes
- 1.
Otto Wilhelm Fiedler argued that the methods of representation could be traced back to perspective in its solid form. Today, with the computer, this idea reveals its effectiveness and its generalizing character because it is possible to represent within the space in terms of absolute generality, considering only the operation of projection and section, on a plane or in a portion of space, from a point or from a direction (as a particular case).
- 2.
The theory of points of concurrence, as known, decisively conditioned the evolution of projective theories at the basis of perspective, being a first contribution for the subsequent introduction of infinity in perspective. Guidobaldo was a mathematician, and his interest in scenography should be understood as purely speculative. It was only aimed to validate the effectiveness of the concurrence points theory, through the reproduction of theorized projective procedures on the construction site of the scene.
- 3.
Quadrature or architectural perspectives are architectures painted on flat, curved or double-curved surfaces, like vaults, which represent spaces giving the illusion of dilating the real space that hosts them.
- 4.
These perspectives have very different scale ratios. The bozzetto is the first model of a dome in horizontal perspective made by Pozzo; this was followed by the canvas, made in 1685 (16 m diameter), still visible in the church of S. Ignazio, followed by the engravings of the treatises, published in two volumes in 1693 and 1700.
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Acknowledgments
Authors shared all the content and methodology used in the research. In particular, Marta Salvatore edited the paragraph entitled “Transformations of projective space: the renaissance theatrical scenography”. Leonardo Baglioni edited the paragraph entitled “Limit configurations of projective space: the horizontal architectural perspectives”.
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Baglioni, L., Salvatore, M. (2020). Rapid Prototyping for Dissemination of Perspective Treatises. In: Di Nicolantonio, M., Rossi, E., Alexander, T. (eds) Advances in Additive Manufacturing, Modeling Systems and 3D Prototyping. AHFE 2019. Advances in Intelligent Systems and Computing, vol 975. Springer, Cham. https://doi.org/10.1007/978-3-030-20216-3_21
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