Firstly, I think this is a cool idea. Fractals are fun to look at and play with. Please take this feedback as being positively-intentioned :)
During the tutorial I clicked Add and some boxes were created. I dragged them around on the canvas. I have no concept of how the resulting image [0] relates to what I created. It doesn't look like the kind of fractals (Mandelbrot etc) that I'm familiar with.
I also didn't figure out how to do anything other than move some boxes around. Probably I just missed something.
[0] https://fractal.parts/i-dont-get-it <-- if you click the "Attractor" (what does that mean?) toggle in the top right you can see the "Template" I created in the editor.
The fractals on this site are not "escape-time fractals" like the Mandelbrot set, but iterated function systems[1], a more discrete fractal variant that starts with an initial generating set and then replaces each element with a smaller copy of the whole set (a good example would be ferns).
Agreed, I can't see how the output is produced from the input, e.g https://fractal.parts/dfdfdfdfd it took several tries to even produce anything other a totally blank output.
Thanks for giving the site a try! Simple answer: the shapes in your template are too small. Try scaling the squares to 1/2 the size of that larger, white square in the center. This can be seen in the template for https://fractal.parts/sierpinski.
Each shape that you add is a transformation from the base shape. The base shape is that large, white square that appears when you first head to fractal.parts/create. The transformations in your template are around 1/4 the size of the base shape. Your template also has a fair bit of whitespace. Together this produces a fractal that progressively disappears.
https://github.com/ElliotPenson/n-gram-chess