Next steps with "museum labyrinth"

To make the folded-paper version I've been using 4x3 sheets, cut in various ways. Drawing, rather than cutting and stitching, is a way of exploring - quickly - the various possible configurations of cuts and "pathways" -

The two possible exits/entrances (straight on and "hooked") will have repercussions for the 3D configuration, as will the dead-ends. Perhaps having more dead ends will make it more interesting - or maybe more confusing and chaotic (which I don't want).

I've been locked into the idea of using a 4x3 grid - so as not to get too big on one sheet of paper, not to have too many different paths - but what about going smaller, 2x2 or 3x3? Maybe the simpler elements will give enough 2D variety; the surprise is in what can happen with 3D,  when the book has many pages or the map folds up.

The square where the thread/path exits is also the square that will overlap with the next "page". I can't imagine how this will work out - out comes paper and scalpel, needle and thread, for a reality check.