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1. 1. Fractal Sets: Dynamical, Dimensional and Topological Properties

   University essay from KTH/Skolan för teknikvetenskap (SCI)

   Author : Nancy Wang; [2018]
   Keywords : logistic function; Cantor set; generalised Cantor Set; fat Cantor set; fractals; fractal dimension; von Koch snowflake; Sierpinski arrowhead curve; Sierpinski carpet; Menger sponge; topological dimension; box dimension; exterior measure; Hausdorff measure; Hausdorff dimension; logistisk funktion; Cantormängd; fet Cantormängd; generaliserade Cantormängd; fraktaler‚; bråktalsdimension; Kochsnöfling; Sierpinskismatta; Sierpinskispilspetskurva; Mengers tvättsvamp; topologiska dimension; lådräkningsdimension; yttre mått; Hausdorffmått; Hausdorffdimension;

   Abstract : Fractals is a relatively new mathematical topic which received thorough treatment only starting with 1960's. Fractals can be observed everywhere in nature and in day-to-day life. To give a few examples, common fractals are the spiral cactus, the romanesco broccoli, human brain and the outline of the Swedish map. READ MORE