Fold can be found in Tomoko Fuse's "Unit Origami" by the name of Open Frame Unit. A tutorial to fold each unit can be found here: [link]
Ok, this was an unintended large project I undertook a few months back. Since I uploaded that tutorial on how to fold the units last night, I wanted to add this to it to show that you don't have to conform to regular polyhedrons. When I looked for it, I thought I had thrown it away when I moved a couple months back... but fortunately I just looked in the right box last, which is the way it always seems to be.
Anyhow, I found it and photographed it. There are 12 + (8*7) units or 68 total. I planned on just using like 30 or 40... was my math off a bit. It was going to be larger but I decided to reign it in a bit when I found that while sturdy, any more units would have made it less so. The corners are rock solid but where 6 units connect at a point... it's wobbly.
On the plus side the entire structure is one piece. It's not 8 individual cube taped together but has the volume of 8 cube with the paper running along the edges of each, or four cubes stacked on each other with a cube attached to each side of the third highest cube. Those 6 unit intersections were a pain to assemble because the paper is small (3 inche squares) and kept coming loose until the last piece was connected.
Thanks to ~javamocha and *scientuslatens for pointing out the hypercube connection. To understand why I named it this, read the wiki entry here: [link] Watching the 8-cell rotation is rather hypnotizing.
~javamocha came up with the appropriate name as well. When I assembled it, I really had no idea the shape had any mathematical significance but sure enough, there it a picture of it in the wiki entry.
It's amazing what you can learn when you study art... when I originally made this I just thought it was a pretty design. It was the smarter deviants mentioned in the comments that pointed out the mathematical implications to it.
LOL, didn't mean to confuse you or anything but I am not in fact magic. I checked out your "Rainbow Vomit," which if that is your first try it turned out very well, and clicked your tutorial link. Lo and behold, I had kind of forgotten about making that. This particular fold is a variation of the tutorial; at step 4 it goes on a tangent and while it ends up being capable of making the same shapes, the variation is for a solid while the tutorial is for a bow-tie effect.
So it looks like I'll have to get back to dA and upload a few tutorials like I've been meaning to do for the past year... Like the Kawasaki Rose, a handful of other favorite modular folds, and basic Celtic knotwork for starters. I've got some other stuff on my mind and free time seems to get more scarce as the years roll on but I enjoy helping others learn what I can teach.
Thank you. Aha. My friends kept asking how I made it, so I shoved that tutorial in there. Not that it helped them any actually. One of them just seriously does not like paper.
No no no. It was less confusing this way to remake it. *laughs* Didn't have all the extra flaps of paper everywhere. M'kay, I thought it might be some variation on step 4. I missed that step a few times and realised something was going on.
Yes yes. You should! I have been deathly bored for the past couple of weeks and these things have kept me occupied.
Heh, those were fun. Easily the weakest part of the structure but it does hold together well still. It's just the normal assembly is super strong. Every single unit here is identical with the only difference being which way the center line is folded as well as the insertion tabs. So where the six points meet, it alternates. So one unit has a mountain fold on the center line (the usual to which 6 of these make a cube) then the next has a valley fold, or reverse from the usual, then mountain, then valley, mountain, valley. That last valley unit gets inserted into the original mountain unit. It ends up looking like the standard XYZ axis. As for the insertion tabs... can't explain it with words. Just fold them towards the next unit and it's possible to slide them in as usual.
From where these units are so small (used 3" paper) it was a PAIN just because they kept slipping out and at those joints, they twist and turn like mad. If you use larger paper, I'm sure that wouldn't be as glaring of a problem.
So does all that make sense? If you have trouble, just let me know and I'll try and troubleshoot. Good luck!
And thanks for the
It is all so clean. D:
Did you fold the outer piece of the units back inside themselves? So that you had a simple looking unit?
Or are you just magic?
So it looks like I'll have to get back to dA and upload a few tutorials like I've been meaning to do for the past year...
Aha. My friends kept asking how I made it, so I shoved that tutorial in there. Not that it helped them any actually. One of them just seriously does not like paper.
No no no. It was less confusing this way to remake it. *laughs*
Didn't have all the extra flaps of paper everywhere.
M'kay, I thought it might be some variation on step 4. I missed that step a few times and realised something was going on.
Yes yes. You should!
I have been deathly bored for the past couple of weeks and these things have kept me occupied.
From where these units are so small (used 3" paper) it was a PAIN just because they kept slipping out and at those joints, they twist and turn like mad. If you use larger paper, I'm sure that wouldn't be as glaring of a problem.
So does all that make sense? If you have trouble, just let me know and I'll try and troubleshoot. Good luck!
Thanks a bunch man!