We show how the birth of perspective painting in the Italian Renaissance led to a new way of interpreting space that resulted in the creation of projective geometry. Unlike other works on this subject, we explicitly show how the craft of the painters implied the introduction of new points and lines (points and lines at infinity) and their projective coordinates to complete the Euclidean space to what is now called projective space. We demonstrate this idea by looking at original paintings from the Renaissance, and by carrying out the explicit analytic calculations that underpin those masterpieces.
The Mathematics of Painting: the Birth of Projective Geometry in the Italian Renaissance / Graziano Gentili; Luisa Simonutti; Daniele C. Struppa. - In: ICCM NOTICES. - ISSN 2326-4845. - ELETTRONICO. - 10 (2022):(2022), pp. 11-29. [10.4310/ICCM.2022.v10.n2.a2]
The Mathematics of Painting: the Birth of Projective Geometry in the Italian Renaissance
Graziano Gentili
;Luisa Simonutti;
2022
Abstract
We show how the birth of perspective painting in the Italian Renaissance led to a new way of interpreting space that resulted in the creation of projective geometry. Unlike other works on this subject, we explicitly show how the craft of the painters implied the introduction of new points and lines (points and lines at infinity) and their projective coordinates to complete the Euclidean space to what is now called projective space. We demonstrate this idea by looking at original paintings from the Renaissance, and by carrying out the explicit analytic calculations that underpin those masterpieces.File | Dimensione | Formato | |
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