Our contribution is part of a research project aimed at investigating Geometry as a cultural substrate and shared language between Architecture and Mathematics. In this sense, spatial visualization plays a crucial role in architects’ educations and heavily draws on making use of mathematical instruments. In this intention the ‘nudo e schietto’ (naked and explicit) architectural model, as theorized by Leon Battista Alberti, turns out to be the most effective one: it favors the objectivity of the geometric description, having less details, even if final results are not necessarily rigorous. Analogously, from a mathematical point of view, the model is a description of a reality through its formalization in equations, while the physical model that materializes it is a mediation between descriptive rigor and practical feasibility and therefore forgets part of the generative geometric consistency while remaining adequate to purposes for which it was produced.
Cloister vaults between synthetic, analytic and built geometry: il vólto antonelliano in Torino / Cumino, Caterina; Pavignano, Martino; Zich, Ursula. - ELETTRONICO. - 1:(2020), pp. 1-316. (Intervento presentato al convegno APLIMAT 2020, 19th Conference on Applied Mathematics tenutosi a Bratislava (SK) nel 4, 5, 6 Febbraio 2020).
Cloister vaults between synthetic, analytic and built geometry: il vólto antonelliano in Torino
Cumino Caterina;Pavignano Martino;Zich Ursula
2020
Abstract
Our contribution is part of a research project aimed at investigating Geometry as a cultural substrate and shared language between Architecture and Mathematics. In this sense, spatial visualization plays a crucial role in architects’ educations and heavily draws on making use of mathematical instruments. In this intention the ‘nudo e schietto’ (naked and explicit) architectural model, as theorized by Leon Battista Alberti, turns out to be the most effective one: it favors the objectivity of the geometric description, having less details, even if final results are not necessarily rigorous. Analogously, from a mathematical point of view, the model is a description of a reality through its formalization in equations, while the physical model that materializes it is a mediation between descriptive rigor and practical feasibility and therefore forgets part of the generative geometric consistency while remaining adequate to purposes for which it was produced.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2790375