Fractals and Their Hausdorff Dimension

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This Demonstration explores some well-known fractals and calculates their Hausdorff dimension. Choose a starting geometric figure and see how it changes with each iteration.

Contributed by: Dawid Dabkowski (March 2018)
Open content licensed under CC BY-NC-SA


Snapshots


Details

This is a Demonstration based on the winning project for the Mathematica Competition held at the University of Warsaw, Faculty of Mathematics, Informatics and Mechanics conference in 2017. The full version of the project (in Polish), with input fields, description and theoretical background, can be downloaded from the competition site: mathematica.mimuw.edu.pl/competition.html.

References

[1] Wikipedia. "Fractal." (Mar 27, 2018) en.wikipedia.org/wiki/Fractal.

[2] Wikipedia. "Hausdorff Dimension." (Mar 27, 2018) en.wikipedia.org/wiki/Hausdorff_dimension.



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