Fractals and Their Hausdorff Dimension

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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



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:


[1] Wikipedia. "Fractal." (Mar 27, 2018)

[2] Wikipedia. "Hausdorff Dimension." (Mar 27, 2018)

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.