This is a simple Mac app that generates points for the Chaos Game. It’s mostly just a toy app that I built to explore the math, but feel free to use it as an example.
- Implements the very simple mathematics of Chaos Game.
- Uses
NSViewControllerwith multiple child view controllers to implement a single-window interface. - Draws many hundreds of thousands of points in a SceneKit view with good performance.
- Add more vertex selectors.
- Add configurable parameters for point appearance.
- Implement image export.
Here’s a small selection of cool patterns I’ve found by playing with the Chaos Game parameters. This is by no means a complete list. Play with it and see what you can discover!
| Vertices | Distance Factor | Vertex Selection Strategy | Notes |
|---|---|---|---|
| 3 | 0.5 | Random | Sierpinski Triangle |
| 3 | 0.333333 | Not One Place Away | |
| 4 | 0.5 | Non-Repeating | |
| 4 | 0.5 | Not One Place Away | Ninja Star |
| 5 | 0.5 | Non-Repeating | |
| 5 | 0.525 | Not One Place Away | |
| 5 | 0.525 | Not One Place Away | |
| 6 | 0.583333 | Non-Repeating | |
| 6 | 0.666667 | Random |
All code is licensed under the MIT license. Do with it as you will.