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200 10$aManifold mirrors $ethe crossing paths of the arts and mathematics /$fFelipe Cucker, City University of Hong Kong$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2013.
215   $a1 online resource (x, 415 pages) $cdigital, PDF file(s)
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-521-42963-3 
311   $a1-107-35699-7 
320   $aIncludes bibliographical references and indexes.
330   $aMost 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.
606   $aArts$xMathematics
615  0$aArts$xMathematics.
676   $a700.1/05
700   $aCucker$b Felipe$f1958-$0320106
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910464664503321
996   $aManifold mirrors$92453542
997   $aUNINA