Grasshopper

algorithmic modeling for Rhino

Hi all!

I'm trying to make a fold able origami model without the help of Kangaroo. With the Kangaroo plug-in I'm not able to control the exact folding angles and the fold lines deform a bit due to the forces which are used with Kangaroo. I would like a model which is build according to it's geometrical relations. I started to make the base pattern, this worked out. The base pattern is constructed with the rectangular square in the middle, these points stay on the same position. Than 4 points (Points 1,7,8 and 14 in the GH-file) are created by taking a point on a circle with the corner points from the rectangle as center and the lines of the rectangle as normal. The remaining 4 points are created with knowledge of the distance of those points to it's connected points. Each point has a known distance between itself and 3 other points. So the intersection point with the correct angle (because the line has to be a mountain-fold) is taken. This makes the base pattern. But now I'm struggling to make this base pattern into a larger tessellation. The goal is to create a parametric model which can controlled over the following parameters:

- Size
- Number of tessellations

- Controlling the folding angles of degrees of freedom of the model

Attached to this post I have the Grasshopper file of the base pattern which is described in this post and a pictures of the tessellation (first the base pattern and a 2x2 pattern).

Has anybody a suggestion how to model a folding pattern like this with the Kangaroo plug-in?

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Are you still working on this? I have been interested in modelling folding geometries as well. I am wondering if starting with a different base geometry may help you. Or is this the base pattern you want? It may also be helpful if you knew what the geometry would look like when it was tessellated and folded--it may be that the geometry you are showing in Base pattern 2x2 can't be folded in the way you are picturing, I don't know. You may have heard of Ron Resch's work, if not check out his "paper and stick film" for some geometry ideas and a better idea of what results may be.

Anyway, I'm working on a grasshopper file that tries to answer your questions and will hopefully post my progress soon, but wanted to check where you are at.

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