The Chaos game is a simple iterative way to create fractals. The only thing we need to keep track of is a single point; at each iteration it is moved towards a randomly chosen vertex. You can find a more detailed description at the bottom of this page, as well as a small gallery.
Meanwhile, can you create your own unique fractal?
Be cautious with the number of samples; the image is rendered in your browser. Feel free to send me your creation!
Number of vertices: 4
Number of samples: 100000
Jumping ratio: 0.50
Filter: Sporadic inspiration
Filter strength: 0.9
Filter size: 1.0
Magnificent fractals made by Lukas:
Gerda’s astounding dotty fractals:
Description of the process
The process follows the following steps:
- Start with a point within the n-gon (e.g. the centre).
- Choose a rule. Examples of rules can be: “Don’t ever jump towards the same vertex twice in a row”, or, “Don’t jump towards any neighbouring vertex of the vertex to which you jumped last”.
- Choose a filter. This is a small area in the centre of the n-gon; we will prevent our point to land in the area during the process.
- Repeat multiple times (This is controlled by Number of samples slider) the next steps:
- Keep choosing a vertex at random, until it is compliant with your rule.
- Jump the fraction of the way towards this vertex (This is the jumping ration).
- With probability filter strength, check if the point lands in the area of the filter. If it is the case, we skip this iteration altogether.
There is also a small article on »wikipedia« worth checking out.