从混沌分形看中国古典建筑与园林设计

233Vol.23No.319989JournalofWuhanTechnicalUniversityofSurveyingandMappingSept.1998:1997207218.,,58,,,,,3S(,129,430079),,,;;;;TU2,,,,,;,,,,,,,,(),1111(Chaos),,,,,,,,,(strangeattrac2tor)112(FractalGeometry),(),(),,,,(),1,(),,113,,,©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved._______________________________________________________________(a)(b)1(a)(b)46Fig.1AFernLeaf(a)andWeed(b)UndertheActionof4and6AffineTransformations2211,,,;,;,,,,[2],,[2],2,,()212,,,,,,,,;,,,,(),,,,,()(),(),(),,,()2,Fig.2UndertheActionofChaoticFlowing,theTransformationsofaTraceSet,,,213,,,,,,,,()(emer2gent),,,[7]3,,A();B(),,()(0911998©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.中国科技论文在线_______________________________________________________________),(),,,,,,(processplanning)214,,(),,,,,,,,,,,,,,(),4,,4()Fig.4TraditionalChinesePaintingBrush2SketchingFormatofTrees,,,,,(),,,,,,,,,,,,,,215,,,,,[11],,,,,,,(59),,,,,,1913:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.中国科技论文在线_______________________________________________________________()Fig.5DiagramofFiveElementsandFiveOrientations------------6Fig.6PlanofCourtyard2Residence7(8714)Fig.7GeographicalSituationinXihanDynasty,(,1988),10,,118Fig.8PlanningPaternatCityLevel9Fig.9DiagramoftheCapitalCityPlaninBeisongDynasty11,IFS,12,JuliaMan2delbrot,:,(,)10Fig.10TopologicalIsomorphisminChineseClassicGardens:1),()(IFS)2)2911998©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.中国科技论文在线_______________________________________________________________(a)(b)11MandelbrotFig.11DiagramsofMandelbrotSetwithMulti2levelVariability12Fig.12SierpinskiCarper,(JuliaMandelbrot),(),:,,()3,,,(paradigm),,,,,(ChaoticFractalArchi2tecture),,,,,,,,,,,,:,,!,,,,,,,,1BrownLR.BuildingaSustainableSociety.NewYork:NortonWW&Company,1981.2PrigogineI,StengersI...:,19873MandelbrotBB.TheFractalGeometryofNature.SanFrancisco:FreemanWH,19834..:,19925..:,19906..:,19927..:,1984.8..:,19859..:,198910McHargLI.DesignwithNature.SanFrancisco:SierraClubBooks,196911AlexanderC.APatternLanguage.Oxford:OxfordUniversityPress,197112HillierB,HansonJ.TheSocialLogicofSpace.Cam2bridge:CambridgeUniversityPress,198413BattyJM,LongleyPA.Fractal2basedDescriptionofUrbanform.Environment&PlanningB,1987,14(2)14.:[].:,199615.CCDDEM:[].:,1991(203)3913:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.中国科技论文在线_______________________________________________________________(NationalLaboratoryforInformationEngineeringinSurveying,MappingandRemoteSensing,WTUSM,129LuoyuRoad,Wuhan,China,430079)AbstractThisisoneofresultsof32Dreconstructionofurbanbuildingsandvisualizationofcitymodels.Onthebasisofcommon22Dtriangulatedirregularnetwork(TIN).Thispaperdeveloped2D2TINunderdeterminedboundarycondition,throughrespectivegenerationof2D2TINofirregularroofandverticalwallconcerningtheterrain,composed22DTINofbuildingsurface,realized32Dvisualizationmethodofurbanbuildingsconcerningtheterrainafterexpunctionofcommonsideundersameplanecondition,inborndatainDXFformatcanaccessdirectlyAutoCAD3DStudioandOpenGL.Keywordsreconstructionofbuilding;32Dvisualization;triangulatedirregularnetwork(193)AnAnalysisofTraditionalChineseArchitecturalandGardenDesignfromtheViewpointofChaologyandFractalGeometryLiDerenLiaoKai(TheSecretariatofPresidential,WTUSM,129LuoyuRoad,Wuhan,China,430079)AbstractInthispaper,chaology,fractalgeometryandotherrelatednewlydevelopednon2lineartheorieshavebeenintroducedintothestudyoftraditionalChinesearchitecturalandgardendesign,andFeng2shui,thetheoreticalsourceofspaceanalysisanddesign.WearguethattraditionalChinesearchitecturalspaceconceptisakindofchaologicalspaceconcept,anditsform2generationmechanismismorerelatedtofractalgeometry,whichpursuesanon2lin2earorder(involvingbothlinearandnon2lineartransformations).Onthisbasis,weproposedastudyonchaoticöfractalarchitecture,asetofnewtheoriesandmethodsforarchitecturalandurbanspaceanalysisanddesign.Keywordschaologyandfractalgeometry;traditionalChinesearchitecturalgardendesign;Feng2shui;spaceanalysisanddesign;non2linearorder3023:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.中国科技论文在线_______________________________________________________________