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Manifold Mirrors: The Crossing Path of the Arts and Mathematics by Felipe Cucker downloads torrent
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Product Details:


Author(s): Felipe Cucker

Category: Mathematics

Date: 2013-06-10

Pages: 424

Language: English

ISBN-10: 0521728762

ISBN-13: 9780521728768

Format: pdf

Book 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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GO Downloads Manifold Mirrors: The Crossing Path of the Arts and Mathematics by Felipe Cucker



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