Math hivemind: I'm looking for something on the mathematics of kumihimo braiding.
The version I know of has a disk with 8 slots, and you start with 7 strings in slots. You take one of the strings, pull it out of its slot, and put it into the empty one, and repeat. It's a super simple way to make a nice braiding pattern.
See this for pictures: https://raft.net/wp-content/uploads/2020/08/PGS-Kumihimo.pdf
The person who showed this to me told me which number of strings worked, but I forget what she said. If you just try to do the same thing with, say, 5 strings -- make 6 slots, pull up a string two slots from the empty one, put it in the empty one, repeat -- it didn't seem to work. So it's not just 2 being relatively prime to 5 or 7.
Anyone have any links or resources on this?