I built a Jacquard Loom that is controlled from an iPhone. It's built from laser cut plywood, and 3D printed parts. I've open sourced all the design files and software. This isn't really a how to, but more of a "this is what I've done so far".
You can read more about the build at:
https://retrotechjournal.com/2019/06/17/making-a-diy-computer-controlled-loom/
You can also look at all the code/designs at:
https://gitlab.com/electronicsnufkin/WeaveMe