TheGeometryofSeaShells课件
日期：2010-09-11 09:27
shellscanbeexpressedaschangein3parameters:W(flare)=ExpansionrateofthegeneratingcurveD(verm)=RateofincreaseofthedistanceofthegeneratingcurvefromthecenteraxisT(spire)=RateatwhichsuccessivewhorlsofthespiralcreepalongthelengthoftheaxisFirstParameter…W=Rateofexpansionofthegeneratingcurve:W=2meansthatineverycoil，theopeningistwiceaslargeasthepreviousturnThuslargerW’sgivelargerrateofexpansionieinshellssuchascockles，TheGeometryofSeaShellsBackground…ShellsgrowatthemarginswheretheinnermostpartoftheadultcoilisthebabyshellSincetheyhavethisgrowthpatterntheirgrowthisabletobemodeledbyaHelico-SpiralBackgroundcontinued…Thespiralrotatesaroundafixedaxiswhichalwaysremainsgeometricallysimilartoitself(increasingitsdimensionscontinually)Tocreatetheactualshapeoftheseashell，aGeneratingCurverotatesaroundthespiralincreasingitssizeasitspiralsdownAnydimensionofanyseashellcanbefoundbyoneofthreeparametersThreeParameters…Assumingthatthegeneratingcurveisacircle，Wisupinthe1000’s，
查看全部