Manifold mirrors: the crossing paths of the arts and mathematics
Most works of art, whether illustrative, musical or literary, are created subject to a set of constraints. In many (but not all) cases, these constraints have a mathematical nature, for example, the geometric transformations governing the canons of J. S. Bach, the various projection systems used in...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2013
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Most works of art, whether illustrative, musical or literary, are created subject to a set of constraints. In many (but not all) cases, these constraints have a mathematical nature, for example, the geometric transformations governing the canons of J. S. Bach, the various projection systems used in classical painting, the catalog of symmetries found in Islamic art, or the rules concerning poetic structure. This fascinating book describes geometric frameworks underlying this constraint-based creation. The author provides both a development in geometry and a description of how these frameworks fit the creative process within several art practices. He furthermore discusses the perceptual effects derived from the presence of particular geometric characteristics. The book began life as a liberal arts course and it is certainly suitable as a textbook. However, anyone interested in the power and ubiquity of mathematics will enjoy this revealing insight into the relationship between mathematics and the arts |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (x, 415 pages) |
| ISBN: | 9781139014632 |
| DOI: | 10.1017/CBO9781139014632 |
Internformat
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| 520 | |a Most works of art, whether illustrative, musical or literary, are created subject to a set of constraints. In many (but not all) cases, these constraints have a mathematical nature, for example, the geometric transformations governing the canons of J. S. Bach, the various projection systems used in classical painting, the catalog of symmetries found in Islamic art, or the rules concerning poetic structure. This fascinating book describes geometric frameworks underlying this constraint-based creation. The author provides both a development in geometry and a description of how these frameworks fit the creative process within several art practices. He furthermore discusses the perceptual effects derived from the presence of particular geometric characteristics. The book began life as a liberal arts course and it is certainly suitable as a textbook. However, anyone interested in the power and ubiquity of mathematics will enjoy this revealing insight into the relationship between mathematics and the arts | ||
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Datensatz im Suchindex
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| author | Cucker, Felipe 1958- |
| author_facet | Cucker, Felipe 1958- |
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| dewey-full | 700.1/05 |
| dewey-hundreds | 700 - The arts |
| dewey-ones | 700 - The arts |
| dewey-raw | 700.1/05 |
| dewey-search | 700.1/05 |
| dewey-sort | 3700.1 15 |
| dewey-tens | 700 - The arts |
| discipline | Kunstgeschichte Mathematik |
| doi_str_mv | 10.1017/CBO9781139014632 |
| format | Electronic eBook |
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| isbn | 9781139014632 |
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| spelling | Cucker, Felipe 1958- Verfasser aut Manifold mirrors the crossing paths of the arts and mathematics Felipe Cucker, City University of Hong Kong Cambridge Cambridge University Press 2013 1 online resource (x, 415 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Most works of art, whether illustrative, musical or literary, are created subject to a set of constraints. In many (but not all) cases, these constraints have a mathematical nature, for example, the geometric transformations governing the canons of J. S. Bach, the various projection systems used in classical painting, the catalog of symmetries found in Islamic art, or the rules concerning poetic structure. This fascinating book describes geometric frameworks underlying this constraint-based creation. The author provides both a development in geometry and a description of how these frameworks fit the creative process within several art practices. He furthermore discusses the perceptual effects derived from the presence of particular geometric characteristics. The book began life as a liberal arts course and it is certainly suitable as a textbook. However, anyone interested in the power and ubiquity of mathematics will enjoy this revealing insight into the relationship between mathematics and the arts Mathematik Arts / Mathematics Geometrie (DE-588)4020236-7 gnd rswk-swf Künste (DE-588)4033422-3 gnd rswk-swf Künste (DE-588)4033422-3 s Geometrie (DE-588)4020236-7 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-42963-4 Erscheint auch als Druckausgabe 978-0-521-72876-8 https://doi.org/10.1017/CBO9781139014632 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cucker, Felipe 1958- Manifold mirrors the crossing paths of the arts and mathematics Mathematik Arts / Mathematics Geometrie (DE-588)4020236-7 gnd Künste (DE-588)4033422-3 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4033422-3 |
| title | Manifold mirrors the crossing paths of the arts and mathematics |
| title_auth | Manifold mirrors the crossing paths of the arts and mathematics |
| title_exact_search | Manifold mirrors the crossing paths of the arts and mathematics |
| title_full | Manifold mirrors the crossing paths of the arts and mathematics Felipe Cucker, City University of Hong Kong |
| title_fullStr | Manifold mirrors the crossing paths of the arts and mathematics Felipe Cucker, City University of Hong Kong |
| title_full_unstemmed | Manifold mirrors the crossing paths of the arts and mathematics Felipe Cucker, City University of Hong Kong |
| title_short | Manifold mirrors |
| title_sort | manifold mirrors the crossing paths of the arts and mathematics |
| title_sub | the crossing paths of the arts and mathematics |
| topic | Mathematik Arts / Mathematics Geometrie (DE-588)4020236-7 gnd Künste (DE-588)4033422-3 gnd |
| topic_facet | Mathematik Arts / Mathematics Geometrie Künste |
| url | https://doi.org/10.1017/CBO9781139014632 |
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