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wombat1138Finally got around to figuring out a stable perpendicular half-divider for Tomoko Fuse's standard modular box-- the dimensions may still need a bit of tweaking, but the concept seems basically sound. It uses the same size of paper square as the box modules.
1.) Fold the square down the center into a half-rectangle; the paper side facing out will be the top of the divider. Valley-fold both long edges up the the midline to create an equal-armed W profile from the side. Completely unfold back into original square; with the top side still up, blintz all four corners into the center.
2.) Turn paper over. Valley-fold both endpoints of the original midline to meet at the square's centerpoint.
3.) Refold the original midline in the same direction as before, trapping the blintzed endpoint corners inside the divider as the rest of the shape opens up around it. Each end of the divider is supported in place by a partial liner along that wall.
The extant problem with this pattern is that it's a little bit too tall for the box and sticks up from the rim. This can be somewhat remedied by folding down the liner corners, but the divider itself still sticks up like a basket handle.
As an initial subdivider for the rectangular halves, here's one that creates three triangular subcompartments, with the larger middle one flanked by smaller triangles on each side; it's sort of the half-shape equivalent of the five-compartment divider, starting with a half-rectangle:
1.) Fold the rectangle in half, creating a two-layered quarter-square; the paper on the inside of this fold will be the visible topside. Diagonally valley-fold each square, creating a four-layered triangle with an equal-armed W profile viewed along the right angle.
2.) Valley-fold both outside layers of the right angle down to the midpoint of the hypotenuse; pocket-fold the remaining right angle down to the same point to create a multilayered trapezoid.
3.) Viewed from the top, the trapezoid will tend to open up into a V-like shape. Fold the entire bottom point of the V (it doesn't matter on which side) to the hypotenuse midpoint; unfold the V-point and then pocket-fold it under one layer to trap the point inside one arm of the V. Similarly, pocket-fold both endpoints of the V arms to the hypotenuse midpoint.
4.) Open up the divider and fit it into an existing half-rectangle compartment.
And a semi-analogue for a diagonal half-compartment; this creates a square quarter flanked by two triangular eighths, partitioned by full-height troughs (the partition itself is continuous but the troughs are in two distinct segments, so it isn't possible to fit a single long L-shaped object atound the square quarter):
1.) Fold a same-sized square into diagonal halves.
2.) Fold both acute angles up to meet the right angle, make a sharp crease, and unfold; for both of the resulting edge midpoints, repeat with the adjacent angles to mark sharp straight creases from both quarter-points. (Both of the quarter-point creases near the right angle should go all the way across the paper.)
3.) The diagonal half-square should now have a loose grid of six valley folds. With each set of three parallel valley folds, bunch them up to create two mountain folds halfway between them, then unfold.
4.) Valley-fold the half-triangle's acute edges together; partially unfold the resulting quarter-triangle, then use the mountain-fold precreases and the valley fold sandwiched between each pair to pleat both sides around it (the boundary between the quarter-triangles will have to invert to a mountain fold after refracting through the first junction of mountain precreases). The resulting shape will have three triangular "wings" jutting downward from a pleated center body with a pointed "nose".
5.) Open up one wing to point in the other direction and fold the entire body section in half so that the nose touches the other end. Fold the wing back over it.
6.) Hold the entire shape together with the thumb and middle finger of one hand above the outer wings' existing valley precreases, with all of the wings pointing outward. Open up the square quarter-compartment from the central wing by sliding the forefinger of that hand up into it, while using the other hand to flatten the entire shape up from the bottom along the valley precreases.
7.) Settle the subdivider into place in an existing diagonal half-compartment.
Also, archived diagrams for the Magic Rose Cube; I think I printed these out a while back and made a few, but lost track of them since then.
1.) Fold the square down the center into a half-rectangle; the paper side facing out will be the top of the divider. Valley-fold both long edges up the the midline to create an equal-armed W profile from the side. Completely unfold back into original square; with the top side still up, blintz all four corners into the center.
2.) Turn paper over. Valley-fold both endpoints of the original midline to meet at the square's centerpoint.
3.) Refold the original midline in the same direction as before, trapping the blintzed endpoint corners inside the divider as the rest of the shape opens up around it. Each end of the divider is supported in place by a partial liner along that wall.
The extant problem with this pattern is that it's a little bit too tall for the box and sticks up from the rim. This can be somewhat remedied by folding down the liner corners, but the divider itself still sticks up like a basket handle.
As an initial subdivider for the rectangular halves, here's one that creates three triangular subcompartments, with the larger middle one flanked by smaller triangles on each side; it's sort of the half-shape equivalent of the five-compartment divider, starting with a half-rectangle:
1.) Fold the rectangle in half, creating a two-layered quarter-square; the paper on the inside of this fold will be the visible topside. Diagonally valley-fold each square, creating a four-layered triangle with an equal-armed W profile viewed along the right angle.
2.) Valley-fold both outside layers of the right angle down to the midpoint of the hypotenuse; pocket-fold the remaining right angle down to the same point to create a multilayered trapezoid.
3.) Viewed from the top, the trapezoid will tend to open up into a V-like shape. Fold the entire bottom point of the V (it doesn't matter on which side) to the hypotenuse midpoint; unfold the V-point and then pocket-fold it under one layer to trap the point inside one arm of the V. Similarly, pocket-fold both endpoints of the V arms to the hypotenuse midpoint.
4.) Open up the divider and fit it into an existing half-rectangle compartment.
And a semi-analogue for a diagonal half-compartment; this creates a square quarter flanked by two triangular eighths, partitioned by full-height troughs (the partition itself is continuous but the troughs are in two distinct segments, so it isn't possible to fit a single long L-shaped object atound the square quarter):
1.) Fold a same-sized square into diagonal halves.
2.) Fold both acute angles up to meet the right angle, make a sharp crease, and unfold; for both of the resulting edge midpoints, repeat with the adjacent angles to mark sharp straight creases from both quarter-points. (Both of the quarter-point creases near the right angle should go all the way across the paper.)
3.) The diagonal half-square should now have a loose grid of six valley folds. With each set of three parallel valley folds, bunch them up to create two mountain folds halfway between them, then unfold.
4.) Valley-fold the half-triangle's acute edges together; partially unfold the resulting quarter-triangle, then use the mountain-fold precreases and the valley fold sandwiched between each pair to pleat both sides around it (the boundary between the quarter-triangles will have to invert to a mountain fold after refracting through the first junction of mountain precreases). The resulting shape will have three triangular "wings" jutting downward from a pleated center body with a pointed "nose".
5.) Open up one wing to point in the other direction and fold the entire body section in half so that the nose touches the other end. Fold the wing back over it.
6.) Hold the entire shape together with the thumb and middle finger of one hand above the outer wings' existing valley precreases, with all of the wings pointing outward. Open up the square quarter-compartment from the central wing by sliding the forefinger of that hand up into it, while using the other hand to flatten the entire shape up from the bottom along the valley precreases.
7.) Settle the subdivider into place in an existing diagonal half-compartment.
Also, archived diagrams for the Magic Rose Cube; I think I printed these out a while back and made a few, but lost track of them since then.