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Jacob Gröning: Introduction to fractal geometry

Time: Tue 2023-02-07 13.00 - 14.30

Location: Albano hus 1, Cramér room

Participating: Jacob Gröning


In this presentation we will give an introduction to fractal geometry using the three most common examples of fractals. The fractals we will cover are: The Cantor set, The von Koch curve and Sierpinski's triangle. First we will construct them and then discuss why usual methods do not tell us very much about the structure of the fractals. Then we will introduce the concept of fractal dimension and give an intuition of the fractal dimension of the above fractals. Lastly we will define the Hausdorff dimension and compute it for The Cantor set.