Try: https://turbowarp.org/730373127/fullscreen?hqpen and set pixel size to 1 Click spot you want to center and zoom in on. Click Zoom button. Also can move with arrow keys, and can zoom out by pressing spacebar or zoom in with i key. Zoom helps show self-similar pattern (fractal).
Fractal (self-similar) arising from iterating a simple rule. Inspired by the simplicity of code in @Happilands mandelbrot set exploration, I aimed for even more simplicity. The essential algorithm is very simple.