I'm not sure this is the right forum, but...
I'm trying to figure out if there's a good way to fold a 2x1 rectangle into a line where one of the short sides of the rectangle is fixed in place.
So in this case, the red edge is the edge that is fixed in place and can't move. The rest of the paper, colored green, wants to get as small as possible and be locked that way. The more uniform the thickness and shape, the better.
It seems like this shouldn't be particularly difficult, but I'm drawing a blank.
Thanks
Fold a 2x1 rectangle to a line, locked, with a fixed edge
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Fold a 2x1 rectangle to a line, locked, with a fixed edge
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Re: Fold a 2x1 rectangle to a line, locked, with a fixed edge
And must it keep the same width?
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Re: Fold a 2x1 rectangle to a line, locked, with a fixed edge
It's probably important that the width doesn't change. Ideally, it'd stay a straight line as well. So think of the red line as a steel bar glued to the green paper along the short edge. I'd still be interested in ideas that caused it to bend, but probably not shorten.
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Re: Fold a 2x1 rectangle to a line, locked, with a fixed edge
So I've got a prototype for one idea...
The raw edges seems to be correct, but I need to test it "in production" and make sure
It's also not exactly perfect. An outer layer is not locked down. But, in theory, at the limit, the whole thing goes to a line. So that's pretty good
The raw edges seems to be correct, but I need to test it "in production" and make sure
It's also not exactly perfect. An outer layer is not locked down. But, in theory, at the limit, the whole thing goes to a line. So that's pretty good
EVERYTHING MUST BE MADE OF PAPER!
Re: Fold a 2x1 rectangle to a line, locked, with a fixed edge
You might also be able to create a type of tab from the middle of the paper if you use pleats. Then, maybe you might be able to roll the strip–or fold it in zigzag manner, to pack it down–and use the tab somehow to lock it together. It's just a very rough idea... not sure if it could work.
So what's all this for, Cadix ?
So what's all this for, Cadix ?
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My awesome website: https://www.neorigami.com
and Instagram account: https://instagram.com/NeorigamiCom
My awesome website: https://www.neorigami.com
and Instagram account: https://instagram.com/NeorigamiCom
Re: Fold a 2x1 rectangle to a line, locked, with a fixed edge
So... here's the short version (hopefully it's enough to make sense)
So I've developed a split. Kinda like the Elias stretch in function, but it distributes paper differently, and locks. I can use it to make things like:
More generally, I can create as many squares as I want, all connected at a point (the connections can be elsewhere on the squares).
So if I can take the first image and turn it into:
I now have squares connected by "threads" (at the limit).
From these I can fold any model as usual. If the connection to the neighboring square is inside the model, the thread can, in theory, wind its way out. So... mathematically, at the limit, I have a straightforward way of folding any number of arbitrary models from a single rectangle. In practice, of course, if the added layers or thread make things too bulky, the model might look quite awful
I did just have a bit of a break through that makes the "threads" potentially much less bulky or at least easier to lock.
Note, all of this is possible with the Elias stretch, but in practice there are some differences that make my split more beneficial to this project. For box pleating... not so much
So I've developed a split. Kinda like the Elias stretch in function, but it distributes paper differently, and locks. I can use it to make things like:
More generally, I can create as many squares as I want, all connected at a point (the connections can be elsewhere on the squares).
So if I can take the first image and turn it into:
I now have squares connected by "threads" (at the limit).
From these I can fold any model as usual. If the connection to the neighboring square is inside the model, the thread can, in theory, wind its way out. So... mathematically, at the limit, I have a straightforward way of folding any number of arbitrary models from a single rectangle. In practice, of course, if the added layers or thread make things too bulky, the model might look quite awful
I did just have a bit of a break through that makes the "threads" potentially much less bulky or at least easier to lock.
Note, all of this is possible with the Elias stretch, but in practice there are some differences that make my split more beneficial to this project. For box pleating... not so much
EVERYTHING MUST BE MADE OF PAPER!
Re: Fold a 2x1 rectangle to a line, locked, with a fixed edge
Actually... the Elias stretch might work BETTER for this o_O
It would naturally and easily create a thin bridge between two squares. If I could lock it, it might be near perfect. The one question mark is the distribution of paper. The squares would have rather thick edges. But I'll have to try it. It might be as good or better! And Lang has already used is to create his rock-scissors-paper: https://langorigami.com/artwork/rock-paper-scissors/ (or at least I think he did something similar there...).
It would naturally and easily create a thin bridge between two squares. If I could lock it, it might be near perfect. The one question mark is the distribution of paper. The squares would have rather thick edges. But I'll have to try it. It might be as good or better! And Lang has already used is to create his rock-scissors-paper: https://langorigami.com/artwork/rock-paper-scissors/ (or at least I think he did something similar there...).
EVERYTHING MUST BE MADE OF PAPER!
Re: Fold a 2x1 rectangle to a line, locked, with a fixed edge
Sounds really interesting! Let us know how it goes.
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My awesome website: https://www.neorigami.com
and Instagram account: https://instagram.com/NeorigamiCom
My awesome website: https://www.neorigami.com
and Instagram account: https://instagram.com/NeorigamiCom