HuntingthehiddendimensionPBS

LorenCarpenter(visualize)-gt;whattheplanesmightlooklikeinflight.Fractals-Form,Chance,andDimensionbyBenoitMandelbrotItsoneofthekeystofractalgeometrycalliterationinmathematicians.FirstMountainandthenquot;StarTrekIIquot;theWrathofkhan.Self-similarityalwayszoominandouttheobjectlookthesame.Peoplelikethegreat19thcenturyJapaneseartistKatsushikaHokusaithemysteryofthemonsters,astoryreallybeginsinlater19century,GeorgCantor(German)Createdfirstmonstersin1883,callquot;CantorSet.quot;AnotherbytheSwedishHelgeVonKoch,oneoftheclassicalEuclideangeometricfigures.inthe1940s,BritishScientistLewisRichardson,KochCurvehewroteaveryfamousarticleiScienceMagazinecalledquot;HowLongistheCoastlineofBritish.quot;DimensionFrenchGastonJuliaMandelbrotinIBMonethecombinedalloftheJuliasets.f(Z)=Z2 Cintoasingleimage.TheMandelbrotSetLate1970s,JhaneBarnesnewbookquot;theFractalGeometryofNaturequot;1990,aBostonradioastronomerNathanCohenhavebeendiscoveredbackinthe1930s....E=M3/4AGeneralModelfortheoriginofallometricscalinglawsinBiology