Kusudama paper proportions
Dec. 8th, 2011 10:50 am![[personal profile]](https://www.dreamwidth.org/img/silk/identity/user.png){kind=small}
wombat1138I was going to add this to the snowstar notes on dA, but it started getting too wordy. Quick reference pic:
The actual dimensions I listed in the original notes (N = 3") were chosen more for cutting convenience than strict accuracy, although they're reasonably close. I'm also providing a second set of approximate measurements for N = 3.5", since that's what most of my pre-cut paper supply is.
I'm also reverting a bit to the terminology from Lew Rozelle's Origami Ornaments, which I just bought a Kindle copy of and am not entirely happy with-- it leaves out the very useful supplementary table of contents that lists all of the individual modules.
(Hm-- what's with the huge space preceding the table in preview? Guess I'll see if it's still there when I actually post... aha, it's a linebreak artifact.)
Base: a square face module
(Complex Base: a variation that ends up the same final size but is folded from larger paper.)
Hinge: a non-protruding module that joins two square faces at a polyhedral edge.
Clip: a protruding right-angle starpoint that joins two square faces at a polyhedral edge
Non-Rozelle elements--
Birdstar/starbird (not in Rozelle): a cruciform star accent that slots into the surface of a Base
Blintz star: double-layered face accent
(Starbird pyramid: an oversized starbird accent that projects outward)
Long Clip: a protruding acute starpoint joining two faces at an edge
Petal: Color accent added to the outer tip of a Clip or a Long Clip
(Rozelle has a somewhat different version of a Long Clip folded from a size-N square, but his doesn't look the same on both sides. Mine dooes, but otoh my Long Clip is not very stable-- esp. when folded when somewhat undersized paper-- and may need to be surreptitiously supplemented with an underlying Hinge.)
(Later note: have been working on some Long Clip variations with more stability. They're slightly more fiddly to fold; whether they're worth the extra effort remains to be seen-- each modular cube requires 12 edge-joining units, which is a lot. OTOH it'll be a great application for my otherwise useless stash of half-page stubs left over from printing eBay labels.)
[*: The Long Clips for 3" Base squares should probably be made from ~3.6" squares as a closer measurement, but by that time I was tired of cutting squares and just went with what I already had. Plus it's hard to measure 3.6" squares on a ruler marked with binary fractions; metric measurements would simplify that immensely.]
Technically, the proportions for my Long Clip are (N/2)/[(sqrt 2)-1]. Their petal accents are quarter-squares or blintz-squares relative to the starting Base squares, not relative to the larger Long Clip squares. Semi-conveniently, when using 3.5" Base squares, you can get four Long Clip squares from a standard sheet of printer paper.
Long Clip petals can be made from size-N Base squares, but then the underlying Long Clip color is reduced to two small accents at the bottom of the clip triangle.
The actual dimensions I listed in the original notes (N = 3") were chosen more for cutting convenience than strict accuracy, although they're reasonably close. I'm also providing a second set of approximate measurements for N = 3.5", since that's what most of my pre-cut paper supply is.
I'm also reverting a bit to the terminology from Lew Rozelle's Origami Ornaments, which I just bought a Kindle copy of and am not entirely happy with-- it leaves out the very useful supplementary table of contents that lists all of the individual modules.
(Hm-- what's with the huge space preceding the table in preview? Guess I'll see if it's still there when I actually post... aha, it's a linebreak artifact.)
Base: a square face module
(Complex Base: a variation that ends up the same final size but is folded from larger paper.)
Hinge: a non-protruding module that joins two square faces at a polyhedral edge.
Clip: a protruding right-angle starpoint that joins two square faces at a polyhedral edge
Non-Rozelle elements--
Birdstar/starbird (not in Rozelle): a cruciform star accent that slots into the surface of a Base
Blintz star: double-layered face accent
(Starbird pyramid: an oversized starbird accent that projects outward)
Long Clip: a protruding acute starpoint joining two faces at an edge
Petal: Color accent added to the outer tip of a Clip or a Long Clip
(Rozelle has a somewhat different version of a Long Clip folded from a size-N square, but his doesn't look the same on both sides. Mine dooes, but otoh my Long Clip is not very stable-- esp. when folded when somewhat undersized paper-- and may need to be surreptitiously supplemented with an underlying Hinge.)
(Later note: have been working on some Long Clip variations with more stability. They're slightly more fiddly to fold; whether they're worth the extra effort remains to be seen-- each modular cube requires 12 edge-joining units, which is a lot. OTOH it'll be a great application for my otherwise useless stash of half-page stubs left over from printing eBay labels.)
| Base: | N (base square) | 3" | 3.5" |
| Hinge: | N/2 (quarter-square) | 1.5" | 1.75" |
| Clip: | N/(sqrt 2) (blintz square) | 2" | 2.5" |
| Clip petal: | N/[2*(sqrt 2)] (quarter-blintz square) | 1" | 1.25" |
| Birdstar: | N/2 (quarter-square) | 1.5" | 1.75" |
| Blintz star: | N/(sqrt 2) (blintz square) | 2" | 2.5" |
| Blintz star: | N/(sqrt 2) (blintz square) | 2" | 2.5" |
| Starbird pyramid | N * (sqrt 2) (up-blintzed base square) | 4.25" | 5" |
| Long clip: | ~6N/5 | 3.5"[*] | 4.25" |
| Long clip petal: | N/(sqrt 2) or N/2 | 2" or 1.5" | 3" or 1.75" |
[*: The Long Clips for 3" Base squares should probably be made from ~3.6" squares as a closer measurement, but by that time I was tired of cutting squares and just went with what I already had. Plus it's hard to measure 3.6" squares on a ruler marked with binary fractions; metric measurements would simplify that immensely.]
Technically, the proportions for my Long Clip are (N/2)/[(sqrt 2)-1]. Their petal accents are quarter-squares or blintz-squares relative to the starting Base squares, not relative to the larger Long Clip squares. Semi-conveniently, when using 3.5" Base squares, you can get four Long Clip squares from a standard sheet of printer paper.
Long Clip petals can be made from size-N Base squares, but then the underlying Long Clip color is reduced to two small accents at the bottom of the clip triangle.