The Origami Forum

Thanks for your answer.

Awesome folds sunburst

Sunburst

Two 1:3 rectangles make a lot more sense than loining six squares or the other option I had thought about which was joining a 1:4 rectangle with a 1:3 rectangle but this wouod cause some sides to be double layers. Or the even worse option which was a 1:4 plus two squares.

Thanks, Foldtastic!
Brimstone: any process to make a cube works, really. I don't think there is a «best» one. For the tetrahedra, however...

And here you are: two diagrams for the ones who wish to try this out!





So... anyone else want to invent a new folding style

Im actually developing some pretty cool techniques for 22.5 folding, based upon things you can do in box pleating, such as making flaps thicker, rivers, and other stuff.
might not sound interesting, but im doing it in a new way...

i don't feel like ive gotten it far enough to show though, maybe when i have more time...

I can post a quick cp of if wanted

Sounds cool Valerite. So is what your doing an evolution from box pleating>>hex pleating>>your 22.5 pleating??

cp example by valerite, on Flickr

What I did in this cp is find a way to make the legs and wings of the model come out at different spacing.
I haven't seen this in any models except circle-river packed models that are hard to fold, and box pleated models that are also difficult. (not to say 22.5 is any easier )

Again, not really an entire new style of folding, just a way of getting techniques from box pleating and circle packing into 22.5 design (my favorite for it's angular origami-like results)

Not following what you mean by "different spacing". So you have a picture of the folded base?

Interesting theme...)) I'll try too, old - but topical...)) Some of my own created origami folding technics :

Extended hex-pleating, (not R.Lang's usual Hex-Pleating) - its other field and grid structures, depends on several parameters HP{a;b;с}, a,b,с - integer, like one of them HP{1;3}:


Or RP - rhombic pleating, all collection RP{a;b}
Like this one RP{2;4}


Usual Octagon Pleating (OP):

My old model in OP{2;3}:


and many, many others in RP{a;b};HP{a;b;c}; OP{a;b;c;d};...;NP{a;...;z} type
something like this DP - decagon pleating, DDP - dodecagon pleating:

et.c.
Or old non-periodic or combined methodic - MP (mix pleating):


In this technics are many math and geometry, but all is easy foldable and usable in experienced hands.
More detailed info may be found at My Book.
I found also a few collections of really interest origami technics, but i can't tell it now... needed for future publications...

Best Regards from Russia,
Andrey

I've been working on combining embossing techniques (which stretch the paper to create indentations) with origami. I've used this embossing technique to add roof shingles and bricks to my "House with Windows" model.



It is folded from an uncut 12-inch sheet of TANT.

Start with a thin cube of paper, then fold it through the fourth dimension, make sure to flatten result as to be able to show off the result in the three dimensions we normally use. TADAAAA!

Sunburst, those models totally surprised me! Awesome job.

How about folding a Möbius strip? That could push the limits of origami, though it wouldn't exactly be purist.
I actually had the idea a while ago but didn't think to post it here until now.

And another idea: It would be awesome if there was an efficient way to make the root of a stag beetle's antenna come from an axial+ point instead of at the axis (in effect, make the head biaxial and the rest of the body uniaxial). That would make a given model a lot more efficient because less paper would be used at the root of the antennae.

malifold wrote:Start with a thin cube of paper, then fold it through the fourth dimension, make sure to flatten result as to be able to show off the result in the three dimensions we normally use. TADAAAA!

Well, you could create the math for this and use a computer to model it out. And if you stick to the 3-d equivalent of flat folding origami, then the result will be viewable in three dimensions.

But to make it accessible to the masses, you'll have to create a 3D Oripa.

If you are interested in pure mathematics there are some topics reminiscent of 'folding' in dimensions higher than 3.

Here is a video in which I introduce two somewhat unique methods to obtain a color change.

The first is called "Folding the Cut". You literally fold a cut space without doing any cutting which in turn is used to achieve the second technique.
The second involves "Criss-Crossing" in which you cross segments of a long rectangle back and forth so the outside segments of the paper change from one side to the next. The outside segments are opened to form a 3d model.

I used this to make several folds One is called "Can-Can"

Here is the second called "Criss-Cross Cubes". The video first show how the cubes would be made by performing cuts and then shows that you can obtain the same results without doing any cuts.