No, I’m not actually going to include all of them. Not only would that be worse than visiting an endlessly-scrolling Tumblr full of animated GIFs, the vast majority of them are just plain ugly. In addition to the Carey diagram, I’m just going to post six reasonable ones and six random ones, to give you an idea of what’s available.

I’m not going to try an exhaustive search on 25-strand Shigeuchi; 2^17 was bad enough…

[Note: these diagrams are not compatible with ee0r’s 17-strand taka-on-maru braid, which looks pretty much the same, but obviously has a different braiding sequence. Mine is described at the end of this post, and I’ll do a real step-by-step with pictures later.]

Carey diagram:

Reasonable-looking patterns:

Random patterns:

[Update: these three are kind of cool, and work best in three colors]