Essays about: "Sierpinski carpet"

Found 3 essays containing the words Sierpinski carpet.

  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

  3. 2. Fractals and Billiard Orbits on Sierpinski Carpets

    University essay from Linköpings universitet/Matematiska institutionen

    Author : Erik Landstedt; [2017]
    Keywords : Fractals; Geometry; Billiards; Orbits; Surfaces; Translation surfaces; Homeomorphisms.;

    Abstract : This Bachelor's thesis deals with fractals and orbits on Sierpinski carpets. We present the fundamental theory regarding fractals and some illustrative examples together with fractal billiards. READ MORE

  4. 3. Remarkable curves in the Euclidean plane

    University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska högskolan

    Author : Jonas Granholm; [2014]
    Keywords : Curves; Cantor curves; Peano curves; Sierpinski carpet; one-dimensional; Menger curve;

    Abstract : An important part of mathematics is the construction of good definitions. Some things, like planar graphs, are trivial to define, and other concepts, like compact sets, arise from putting a name on often used requirements (although the notion of compactness has changed over time to be more general). READ MORE