It is easy to draw a Sierpinski triangle by programming, there is an easy algorithm for that called the Chaos game. By enhancing this method, I generated some fractals today afternoon. My main goal was to prepare a picture for a physical present that I'm going to give to someone. However, since I've written the program, I've also generated some wallpapers for myself. I'm also going to share these pictures on this blog. First comes the original Sierpinski triangle, colored by my idea:
Next comes the "Golden Sierpinski triangle" that I also added earlier to the fractal drawing software XaoS (but XaoS uses a different algorithm and different coloring). It uses the reciprocal of the golden ratio for shrinking instead of 1/2:
Next comes the same fractal, if I do not run the Chaos game long enough:
Happy PI Day, 2025!
