Need help with curved miura ori

[pejay]

Hello from cologne!

for a highscool project i need an idea on how to create a miura ori, that follows a certain curve. Jet i found out folding the pattern itself, but i have problems with getting the round form. What I need in the end is half of a baloon.

I can't find the answer on the question how to get the thing curved?
Maybe by different sizes of the triangle parts? but I found an example, were someone build a big tent out of all he same wooden parts in always the same size and angles, using exacly this pattern. And: Still it describes a perfect curve...

Also I don't really know, what paper to take, as mine was not really flexible enough, as the form should be not too small. But i will go to the shop and have a look at some qualities..

So if someone has a good idea for me, i will be happy again. thanx first for the existence of the forum!

What I found in the net is the following...so it might be possible...

http://www.flickr.com/photos/rizomatik/ ... 82673@N00/

[OrigamiGianluca]

What you have found is not an half ball, but an half cylinder (more or less).

The appearance of an half cylinder is quite easy since the more small the molecules are, the more round it will appears.

To make an half sphere is not so easy... but really challenging.
The first idea was the same you have alredy supposed, that is using different size of molecules.

As you can see here



to have a sphere you need to stretch the plane in more direction at the same time (while for a cylinder you need to stretch only in one direction)

Just to understand better.
Do you wish to do that with Miura-Ori because you need a collapseble final result?
Or can you choose the folding technique you want?

[origamimasterjared]

Why miura-ori? Does it have to be?

Cheng Chit has a bunch of curved stuff. These two may be of interest: http://www.flickr.com/photos/10595819@N06/919623603/
http://www.flickr.com/photos/10595819@N06/920471524

Tomohiro Tachi has a very different method of getting the curves:
http://www.flickr.com/photos/tactom/913624865/

Also, there is Kade's Magic Ball, which is closer to miura-ori style: viewtopic.php?p=37962

[OrigamiGianluca]

I think the Kade's Magic Ball is the solution closest to pejay needing

[pejay]

Thank You for your hlep, so far...
I need the miura ori, because it has, when folded a very highly stabile structure and that was what i was searching for. Maybe another structure coul work as well....?

But, I found out at least how to get this one slightly curved:

When you fold the paper vertically, you have to fold it in slowly differing angles.
If they are to huge, your rectangles get to big on one end. But folding it on the one end in 1.5 cm steps to the other with 2 cm steps gives a onedirectional curve. So I will use this for the first impression and put two or even three pieces together.

Maybe I post a diagramme later. but now i have to build my model at first.