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Fractals And Chaos Theory

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Fractals and Chaos Theory Ruslan Kazantsev Rovaniemi Polytechnic, Finland
Chaos Theory about disorder ,[object Object],[object Object],[object Object],[object Object]
What is the chaos theory? ,[object Object],[object Object],[object Object]
Wrong interpretations ,[object Object],[object Object]
Chaos Theory about disorder ,[object Object],[object Object],[object Object]
Usage of Chaos Theory ,[object Object],[object Object],[object Object]
Usage of Chaos Theory ,[object Object],[object Object],[object Object],[object Object],[object Object]
Brownian motion and it’s adaptation ,[object Object],[object Object],[object Object],[object Object]
Motion of billiard ball ,[object Object],[object Object],[object Object]
Motion of billiard ball ,[object Object],[object Object],[object Object]
Fusion of determined fractals ,[object Object],[object Object]
Tree simulation using Brownian motion and fractal called Pythag or Tree ,[object Object],[object Object]
Tree simulation using Brownian motion and fractal called Pythag or Tree ,[object Object],[object Object],[object Object],[object Object]
Tree simulation using Brownian motion and fractal called Pythag or Tree ,[object Object],[object Object]
Tree simulation using Brownian motion and fractal called Pythag or Tree ,[object Object],[object Object]
Tree simulation using Brownian motion and fractal called Pythag or Tree ,[object Object],[object Object]
Fractals and world around ,[object Object],[object Object],[object Object]
What are fractals in reality? ,[object Object],[object Object],[object Object],[object Object]
How chaos is chaotic? ,[object Object],[object Object],[object Object],[object Object],[object Object]
Geometry of 21 st century ,[object Object],[object Object],[object Object],[object Object],[object Object]
Practical usage of fractals ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Fractal dimension: hidden dimensions ,[object Object],[object Object],[object Object],[object Object]
Deterministic fractals ,[object Object],[object Object],[object Object],[object Object],[object Object]
Sierpinskij lattice ,[object Object],[object Object],[object Object],[object Object]
Sierpinskij sponge ,[object Object],[object Object]
Sierpinskij fractal ,[object Object],[object Object],[object Object]
Koch Curve ,[object Object],[object Object],[object Object],[object Object],[object Object]
Mandelbrot fractal ,[object Object],[object Object],[object Object],[object Object]
Snow Crystal and Star ,[object Object],[object Object]
Minkovskij sausage ,[object Object],[object Object],[object Object],[object Object]
Labyrinth ,[object Object],[object Object],[object Object],[object Object]
Darer pentagon ,[object Object],[object Object],[object Object],[object Object]
Dragon curve ,[object Object],[object Object],[object Object],[object Object]
Hilbert curve ,[object Object],[object Object],[object Object]
Box ,[object Object],[object Object],[object Object],[object Object]
S ophisticated fractals ,[object Object],[object Object],[object Object]
S ophisticated fractals ,[object Object],[object Object],[object Object],[object Object],[object Object]
Mandelbrot multitude ,[object Object],[object Object],[object Object],[object Object]
Mandelbrot multitude ,[object Object],[object Object],[object Object],[object Object]
Zhu lia multitude ,[object Object],[object Object],[object Object]

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Fractals And Chaos Theory

  • 1. Fractals and Chaos Theory Ruslan Kazantsev Rovaniemi Polytechnic, Finland
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