Tamatebako: still unhinged
Nov. 15th, 2009 05:11 pm![[personal profile]](https://www.dreamwidth.org/img/silk/identity/user.png){kind=small}
wombat1138Semi-coherent working notes, based on scribbled diagrams and crumpled scrap-"doodling" from last night--
Inherent problem w/ matching right-angle flaps into shallow pockets-- partially solvable by folding flap sides down into a flatter half-height triangle.
Quasi-triangular hinge buildable by "blintzing" alternate corners of a corresponding hexagon underneath, then pinwheeling up the triangle sides analogously to Rozelle's complex bases-- flips blintzed hexagonal corners back out over underside pockets. Add internal inserts as support? Modify to outward starpoints to reinforce outfolded pocket petals?
Hexagon from Tomoko Fuse's modular patterns-- use height of equilateral triangle as template for rectangle w/ width/height ratio of 2:(sqrt 3). Width of resulting triangle pockets = height/2.
Trial version for pocket/flap width = 1" too small in scale; try upsizing to 2"-- tamatebako faces from 6" squares, hexagonal template rectangles should be 4" tall? Need to crunch numbers to optimize best paper-fit cuts.
[Addenda #1: 7:8 height/width ratio is a workable approximation of (sqrt 3):2 --certainly simplifies precutting prep work. Currently working with 2-5/8 x 3" rectangles -> simple equilateral inserts from ~1-1/8" squares? (1x7/8" rectangles probably usable) and ~3-15/16" squares for tamatebako faces ~10cm (4" is slightly too large).
Also should check these so-called "triangular hinges" as faces as per Rozelle/Fuse cubes-- determine proper size for corresponding edge hinges?]
[Addenda #2: hexagonal/triangular hinges are attractive (and resemble iris blossoms in the purple/black-patterned paper I've been using for them), but the outfolded petal flaps don't stay in place very well-- not enough room to tuck them inside instead.]
Inherent problem w/ matching right-angle flaps into shallow pockets-- partially solvable by folding flap sides down into a flatter half-height triangle.
Quasi-triangular hinge buildable by "blintzing" alternate corners of a corresponding hexagon underneath, then pinwheeling up the triangle sides analogously to Rozelle's complex bases-- flips blintzed hexagonal corners back out over underside pockets. Add internal inserts as support? Modify to outward starpoints to reinforce outfolded pocket petals?
Hexagon from Tomoko Fuse's modular patterns-- use height of equilateral triangle as template for rectangle w/ width/height ratio of 2:(sqrt 3). Width of resulting triangle pockets = height/2.
Trial version for pocket/flap width = 1" too small in scale; try upsizing to 2"-- tamatebako faces from 6" squares, hexagonal template rectangles should be 4" tall? Need to crunch numbers to optimize best paper-fit cuts.
[Addenda #1: 7:8 height/width ratio is a workable approximation of (sqrt 3):2 --certainly simplifies precutting prep work. Currently working with 2-5/8 x 3" rectangles -> simple equilateral inserts from ~1-1/8" squares? (1x7/8" rectangles probably usable) and ~3-15/16" squares for tamatebako faces ~10cm (4" is slightly too large).
Also should check these so-called "triangular hinges" as faces as per Rozelle/Fuse cubes-- determine proper size for corresponding edge hinges?]
[Addenda #2: hexagonal/triangular hinges are attractive (and resemble iris blossoms in the purple/black-patterned paper I've been using for them), but the outfolded petal flaps don't stay in place very well-- not enough room to tuck them inside instead.]