Origami diagonal pattern with Grasshopper

Replies to This Discussion

Permalink Reply by Benjamin Golder on October 27, 2009 at 9:13am

yes. I think quite a few people have gone down this road at some point. I remember searching for ways to manipulate a virtual surface without changing it's flattened dimensions, and I never found what I needed.

I think the best solution would be to flatten the paper, scan it, trace the fold lines and determine which folds are "mountain" folds and which are "valley" folds. Then you could model the 2D folding diagram in grasshopper, and through trial and error, determine rules to create different geometries by manipulating the fold lines and points in 2D.

Or you could make a grasshopper definition that just looks like you folded something, but which requires you to cut each panel out and assemble it instead of folding the entire thing from a flat surface.

• ▶ Reply

Permalink Reply by Irene Scudellari on October 27, 2009 at 9:48am

Thank you for your answer.
I should organize points as different groups and connect them with lines but I don't now where to start from. Should I draw a surface with Rhino and then extract points from that surface?

• ▶ Reply

Permalink Reply by Tomohiro Tachi on October 27, 2009 at 10:50am

I know that your problem is not exactly the same, but the following discussion could help
http://www.grasshopper3d.com/forum/topics/origami-with-grasshopper

If you know the pattern on the paper, you can use Rigid Origami Simulator to get a 3D configuration in obj format.

• ▶ Reply

Permalink Reply by Irene Scudellari on June 5, 2010 at 11:37pm

Hi,

I am designing a bridge using a pleated Hyper and I have combined straight origami with curved origami.
I am wondering if the pleated surface generated is developable. I have drawn the model with grasshopper, but I made it with straight creases and then I designed the curves with rhino. I can unroll a developable surface with rhino and it looks like is developable.
My intention is to make a prototype using stell.

The paper twist but it doesn't stretch, I think!

Do you think it could work or I should design a triangulated hypar?Shoul I use cone sections to design it?

Thank you
Irene

Attachments:

• DSCF5393.JPG, 44 KB
• DSCF5394.JPG, 49 KB

• ▶ Reply

Permalink Reply by Tomohiro Tachi on June 6, 2010 at 1:41am

In mathematical sense, I think this is not developable without extra creases since it has a vertex with three incident straight foldlines, although I am not very sure.
In practice, you can model with steel sheets.

• ▶ Reply

Permalink Reply by Irene Scudellari on July 9, 2010 at 11:38am

hi

I am thinking to perforate a mild steel sheet 1.5 mm thick and fold it to generate the pleated hypar I had asked you advice on one month ago but the guy that has to do the perforations is concerned about the fact that I will never able to fold the metal in that way. The model is going to be about 1200x400 mm and the distance between folds is 20 mm.

I noticed that you have folded a table from a sheet of steel. Did you fold it by hand? Do you think that it would be possible to fold that hypar shape from a sheet of steel?

I would be grateful for any advice on the subject.

Thanks

• ▶ Reply

Permalink Reply by taz on July 9, 2010 at 5:59pm

http://www.grasshopper3d.com/video/hyperbolic-paraboloid-origami

http://www.grasshopper3d.com/forum/topics/folding-paper

http://www.grasshopper3d.com/forum/topics/any-ideas-how-to-model-this

• ▶ Reply

Permalink Reply by Irene Scudellari on July 10, 2010 at 2:55am

Thank you for the links but I have already drawn the shape.

I am just trying to understand if i will be able to fold it from a sheet of mild steel by hand or if there is another cheap way to do it. Somebody told me that the material will break, somebody else told me that metal will not fold that way. I have no previous experience with metal folding so i am not sure about it.

• ▶ Reply

Permalink Reply by Daniel Piker on July 10, 2010 at 3:52am

Irene - Have you looked at the Curved Folding group yet ? - If you are interested in curved folding of sheet metal, that would be a good place to start. There are a lot of grasshopper users there, and Gregory Epps (of Robofold) who runs it has a lot of experience in this exact topic.

• ▶ Reply