ENGLISH

Manifold Mirrors: The Crossing Paths of the Arts and Mathematics

By Felipe Cucker

Book information

Publisher
Cambridge University Press
Year
2013
ISBN
0521429633, 9780521429634
Language
english
Format
PDF
Filesize
47 MB (48865504 bytes)
Pages
424\428
Time added
2013-08-11 21:55:51
Математика;Популярная математика

Description

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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