I made this paper puzzle type in early 2022 but never posted it on my blog. Whoops! Well, this is a perfect excuse to post about it here now.
Rules:

First puzzle:

Second puzzle:

Third puzzle:

i decided to make a holonomy version of this in the style of henry segerman's 15 + 4 puzzle

i'm reasonably sure it only has one solution

(extending puzzles to weird geometries is fun!)

edit: fixed an ambiguous section

edit 2: there are two solutions because i cannot get rid of one of them