One-sheet origami octants

I've been flailing away at this concept for a while and finally got it right: it's another divider for Tomoko Fuse's standard modular origami box, forming eight equivalent compartments from a single sheet. The open square doesn't have all of the prefolds and the middle-of-the-night pencil scrawls are nearly illegible even in person, but it provides a general idea.

For a box folded from four equal squares, each with side n, the box dimensions are about n/2 x n/2 x n/4. The box divider requires a slightly larger square with sides 4n/3.

In this case, n = 3-1/2" and the divider squre is 4-2/3" which imho is about the minimum manageable size for wrangling the divider's wall thickness and compartment size. I've since rechecked the error margin with n = 6" (divider square 8"), and it still seems to work on a larger scale.

Of course, Tomoko Fuse has probably worked out the same folding pattern years ago in one of her zillion books that haven't been translated into English, but hey, I thrashed this out by myself so it's mine for now :b

[Addendum #1: this pattern can be modified to make something like a single-sheet masu box pre-divided into four diagonal quadrants, but imho it's rather unattractive on the scale of my usual practice paper (3.5" squares of standard paper). With a traditional masu box, two of the walls are already noticeably thicker than the other two because of the extra paper folds locked inside; this has even more extra paper squashed in, so those walls are even more thicker. It would probably look better starting with a larger square and/or thinner paper, but traditional origami paper would make the internal dividers a different color than the rest of the box.

If the sheet size is 4n/3, the final masu box would be, let's see, n(sqrt 2)/4 = n/2(sqrt 2) per side? Or if the sheet side is restated as m, then the masu box would be 3m/8(sqrt 2). ]

[Addendum #2: this pattern *might* also be fittable into a normal masu box made with a same-sized sheet of paper, though the final octant-formation step might need a bit of tweaking. So far, my tests have been inconclusive-- my normal 3.5" squares have too much error from paper thickness, and my single try with 5" squares was dashed when it turned out I'd cut them slightly off-square. If I get it to work, I'll take more pix.]