02884nam 22006012 450 991046466450332120151021164257.01-107-23303-81-107-34737-81-139-01463-31-107-34860-91-107-34112-41-107-34487-50-521-72876-21-107-34362-3(CKB)3460000000128978(OCoLC)842929972(CaPaEBR)ebrary10695371(SSID)ssj0000871833(PQKBManifestationID)11471594(PQKBTitleCode)TC0000871833(PQKBWorkID)10822524(PQKB)11311440(UkCbUP)CR9781139014632(MiAaPQ)EBC1139635(Au-PeEL)EBL1139635(CaPaEBR)ebr10695371(CaONFJC)MIL494720(EXLCZ)99346000000012897820110214d2013|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierManifold mirrors the crossing paths of the arts and mathematics /Felipe Cucker, City University of Hong Kong[electronic resource]Cambridge :Cambridge University Press,2013.1 online resource (x, 415 pages) digital, PDF file(s)Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-42963-3 1-107-35699-7 Includes bibliographical references and indexes.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.ArtsMathematicsArtsMathematics.700.1/05Cucker Felipe1958-320106UkCbUPUkCbUPBOOK9910464664503321Manifold mirrors2453542UNINA