LEADER 04031nam 22007094a 450 001 9910777780703321 005 20230828234947.0 010 $a1-281-73042-4 010 $a9786611730420 010 $a0-300-12962-9 024 7 $a10.12987/9780300129625 035 $a(CKB)1000000000472015 035 $a(StDuBDS)BDZ0022174728 035 $a(SSID)ssj0000244931 035 $a(PQKBManifestationID)11219780 035 $a(PQKBTitleCode)TC0000244931 035 $a(PQKBWorkID)10174787 035 $a(PQKB)11218765 035 $a(StDuBDS)EDZ0000167155 035 $a(MiAaPQ)EBC3420133 035 $a(DE-B1597)485248 035 $a(OCoLC)1024042207 035 $a(DE-B1597)9780300129625 035 $a(Au-PeEL)EBL3420133 035 $a(CaPaEBR)ebr10170823 035 $a(CaONFJC)MIL173042 035 $a(OCoLC)923590525 035 $a(EXLCZ)991000000000472015 100 $a20050805d2006 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aShadows of reality$b[electronic resource] $ethe fourth dimension in relativity, cubism, and modern thought /$fTony Robbin 210 $aNew Haven $cYale University Press$dc2006 215 $a1 online resource (1 online resource (xiv, 137 p.) )$cill. (some col.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-300-11039-1 320 $aIncludes bibliographical references (p. 125-128) and index. 327 $aThe origins of four-dimensional geometry -- Fantasies of four-dimensional space -- The fourth dimension in painting -- The truth -- A very short course in projective geometry -- Patterns, crystals, and projections -- Twistors and projections -- Entanglement, quantum geometry, and projective reality -- Category theory, higher-dimensional algebra, and the dimension ladder -- The computer revolution in four-dimensional geometry -- Conclusion : art, math, and technical drawing. 330 $aIn this insightful book, which is a revisionist math history as well as a revisionist art history, Tony Robbin, well known for his innovative computer visualizations of hyperspace, investigates different models of the fourth dimension and how these are applied in art and physics. Robbin explores the distinction between the slicing, or Flatland, model and the projection, or shadow, model. He compares the history of these two models and their uses and misuses in popular discussions. Robbin breaks new ground with his original argument that Picasso used the projection model to invent cubism, and that Minkowski had four-dimensional projective geometry in mind when he structured special relativity. The discussion is brought to the present with an exposition of the projection model in the most creative ideas about space in contemporary mathematics such as twisters, quasicrystals, and quantum topology. Robbin clarifies these esoteric concepts with understandable drawings and diagrams.Robbin proposes that the powerful role of projective geometry in the development of current mathematical ideas has been long overlooked and that our attachment to the slicing model is essentially a conceptual block that hinders progress in understanding contemporary models of spacetime. He offers a fascinating review of how projective ideas are the source of some of today's most exciting developments in art, math, physics, and computer visualization. 606 $aArt$xMathematics 606 $aFourth dimension 606 $aGeometric quantization 606 $aGeometry in art 606 $aHyperspace 615 0$aArt$xMathematics. 615 0$aFourth dimension. 615 0$aGeometric quantization. 615 0$aGeometry in art. 615 0$aHyperspace. 676 $a530.11 686 $aLH 67190$2rvk 700 $aRobbin$b Tony$01536799 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910777780703321 996 $aShadows of reality$93785727 997 $aUNINA