You only need to know five things to describe the way a tablet-woven structure is produced. That's enough to cover both the way the tablets are set up, and the way they are manipulated to create a fabric. By "structure" I mean something like warp-twining, or double-face, or 3/1 twill. Making color patterns is another area, but even then the color patterns depend on the underlying structure.
I'm gong to go through each of the five in more detail.