The Mathematics of Painting: the Birth of Projective Geometry in the Italian Renaissance
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917604967317504 |
|---|---|
| author | Gentili, Graziano Simonutti, Luisa Struppa, Daniele C. |
| author_facet | Gentili, Graziano Simonutti, Luisa Struppa, Daniele C. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_13295 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Mathematics of Painting: the Birth of Projective Geometry in the Italian Renaissance Gentili, Graziano Simonutti, Luisa Struppa, Daniele C. History and Overview 00A66, 00A09 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. |
| title | The Mathematics of Painting: the Birth of Projective Geometry in the Italian Renaissance |
| topic | History and Overview 00A66, 00A09 |
| url | https://arxiv.org/abs/2210.13295 |