Tessellation Origami

i have tried to achieve this origami tessellation in grasshopper but i failed any suggestion/ideas to achieve this kind of origami tessellation.

What is your progress so far, what logic have you tried?

Upto now i tired using kangaroo origami utility. @markz

far that one you need to implement some curved folding rules and techniques, here you can find a start point
Curved Folding
Curved folding using reflection technique
hand made flower
have a nice day…

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Thanks for sharing some ideas @beremiz.2000

I think @HS_Kim @DanielPiker @laurent_delrieu can help me better in this topic

What’s the justification to do it in Grasshopper ? You showed a paper Origami, many tutorials are on internet. So what ? Grasshopper is useful for parametric design ? Which parameters? To what use ? What material ? Technique of folding ?
… Be more clear and work more…

For the record, always good to cite sources of images
Work of Ekaterina Lukasheva

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Yeah that’s a paper origami. My question is it possible achieve same type of origami in grasshopper. If yes just tell me the basic starting of it @laurent_delrieu

You have the origami application from Daniel

The you search on your images the symetries, the valley the mountains, you then make the mesh and then you use Daniel tool. That’s a bit of work.

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If you want to simulate the folding of this, the first thing would be to find a flat crease pattern.
Then you can start looking at how you mesh it between the creases (since this is not rigid origami - there is bending as well as creasing).
If instead you just want to make a model of something that looks similar, I think you could probably get quite close just by drawing curves for the creases and lofting between them.

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Thank you both @DanielPiker @laurent_delrieu I’ll try something as you said and I’ll post my result

I manage to make some mesh

Not very good with more parts

I also generate dxf file for Freeform Origami, but doesnt work better than Daniel Piker’s tool.
Tomohiro Tachi]

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@laurent_delrieu could you able to share the definition

here you will find a really useful information about curved folding, i suggest to you draw the examples in rhino, internalise, mesh and bend with kangaroo, at the end of the bending you need to check the sum of angles at every vertex and made an optimization in order to accomplish with the rules in the previous links…

good luck…

simple curved folding book examples and tutorials…
complex curved folding book examples and tutorials…

both books are in japanese but you can download all the examples of the books in pdf, dxf and svg…

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@beremiz.2000 thank you so much reading it gonna try some paper origami.

Yes but they are awful. The only trick is to make mesh useful for Kangaroo plugin. It could be better to use spiral instead of blend curves.
Origami_simplified_flower.gh (56.2 KB)
Origami_simplified_flower_1part.gh (107.0 KB)
There is Lunchbox plugin which I used to bake the curves with the good color for Origami Software.


One tricky thing about curved folding origami is the interaction of the mesh edge directions and the ruling lines (paper stays very close to a developable surface, so the curvature in one direction will be zero).

If you know the ruling directions, you can model curved fold origami as thin planar quads. (See this paper: http://graphics.stanford.edu/~niloy/research/folding/folding_sig_08.html)
However, what makes it tricky is that the direction of these ruling lines often isn’t obvious from the flat crease pattern, and sometimes it even has to change during folding. If the mesh doesn’t match these directions, it won’t behave properly when you simulate the folding. If you make a real physical version first, sometimes you can use that to identify the ruling directions.

A different approach is to use a fairly fine unstructured triangular mesh with some bending resistance and allowing only a small amount of stretching of the edges. Like in this video https://vimeo.com/88649160 but also including mesh edges along the crease lines where you set the bending resistance to zero.

Yet another very recent interesting approach is described in this paper: http://igl.ethz.ch/projects/dog-space/
Here a special angle condition preserves developability, even for a coarse quad mesh that doesn’t have to match the ruling directions. I already tried a version of this from their previous paper:
In kangaroo this didn’t even need any new goals, as there is already one for equal angles:
I didn’t yet try and implement the newest paper which includes the creasing though. Would be interesting to test that out…


@HS_Kim @DanielPiker @laurent_delrieu my origmai issue.gh (38.6 KB)
There is some problem in this origami simulation any help will be more helpful. Thanks in advance

you need to put values to the valley and mountain angles (0 means no folding angle) and a timer…

better use the new kangaroo origami examples using kangaroo 2 hinge components…

Origami.gh (28.7 KB)
Origami2.gh (21.5 KB)

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Not sure if this is any help, but it sure is fun. It allows you to import fold patterns and simulate the folding: