Origami BoxFail
Jul. 16th, 2010 10:48 am![[personal profile]](https://www.dreamwidth.org/img/silk/identity/user.png){kind=small}
wombat1138Box dividers, really, but still full of failitude-- I've been trying to come up with a single-sheet pattern to create eight compartments inside one of Tomoko Fuse's standard square modular boxes. (No pix, because it's just that faily.)
Approach #1: start with oversized perpendicular quarters, then use the excess area to diagonally divide each quarter, creating eight equal right triangles. After much flailing, I can finally get this to work with a same-sized single sheet, but the dividers are too low-- I'll have to start with a larger square and recalculate the correct proportions.
Approach #2: Start with oversized diagonal quarters, then redivide each quadrant in the same way as my previously worked-out tweak that creates one diagonal half-compartment + two diagonal quarters. The internal "diagonal sub-quarters" are open on their outer edges, so they pair off and fuse into four small square compartments, with four right triangles in the corners. This is a lot more awkward on several counts-- so far, all of the twiddly measurements precrease the hell out of the paper, the center requires either an awkward countersink or an angular constraint that makes the outer folds more difficult, and the dividers are floppy and thick so the final proportions don't end up where I want them to me. With a same-sized sheet, the dividers are too low *and* it doesn't fit into the box. (It does fit into the box lid, which implies a conversion factor from x/2 to 3x/(sqrt 2) somewhere down the line.)
Approach #3: Everything else :b these mostly involve removable dividers which pack 4 items into each of 2 different layers, but I'm not happy with any of them yet either.
Approach #4: Resign myself to my previous known methods of creating eight compartments with quarters from one same-sized sheet and subdividers from an additional smaller piece of paper. There's the "inverted masu box" that creates a large half-sized square in the middle plus four eighth-sized triangles around the edges; the half-sized square compartment can be diagonally quartered with a blintz-sized square of paper. There's also the single-sheet perpendicular quarters, which can be halved into right triangles by folding a narrow strip of paper around the edges.
Approach #1: start with oversized perpendicular quarters, then use the excess area to diagonally divide each quarter, creating eight equal right triangles. After much flailing, I can finally get this to work with a same-sized single sheet, but the dividers are too low-- I'll have to start with a larger square and recalculate the correct proportions.
Approach #2: Start with oversized diagonal quarters, then redivide each quadrant in the same way as my previously worked-out tweak that creates one diagonal half-compartment + two diagonal quarters. The internal "diagonal sub-quarters" are open on their outer edges, so they pair off and fuse into four small square compartments, with four right triangles in the corners. This is a lot more awkward on several counts-- so far, all of the twiddly measurements precrease the hell out of the paper, the center requires either an awkward countersink or an angular constraint that makes the outer folds more difficult, and the dividers are floppy and thick so the final proportions don't end up where I want them to me. With a same-sized sheet, the dividers are too low *and* it doesn't fit into the box. (It does fit into the box lid, which implies a conversion factor from x/2 to 3x/(sqrt 2) somewhere down the line.)
Approach #3: Everything else :b these mostly involve removable dividers which pack 4 items into each of 2 different layers, but I'm not happy with any of them yet either.
Approach #4: Resign myself to my previous known methods of creating eight compartments with quarters from one same-sized sheet and subdividers from an additional smaller piece of paper. There's the "inverted masu box" that creates a large half-sized square in the middle plus four eighth-sized triangles around the edges; the half-sized square compartment can be diagonally quartered with a blintz-sized square of paper. There's also the single-sheet perpendicular quarters, which can be halved into right triangles by folding a narrow strip of paper around the edges.