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...

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Bibliographic Details
Main Author Cucker, Felipe
Format eBook
LanguageEnglish
Published New York Cambridge University Press 25.04.2013
Edition1
Subjects
Arts
Mathematics
Science and the arts
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Summary: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.
ISBN:9780521429634
0521728762
0521429633
9780521728768
DOI:10.1017/CBO9781139014632