Rigid Origami

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Permalink Reply by Daniel Piker on September 22, 2009 at 3:39am

I've posted quite a few times about Rigid Origami and related linkages on my blog here.

The basic approach I use is something like a 3D version of traditional straightedge and compass geometric constructions - lots of intersecting circles and mirror planes. For a very simple example of this look at this 4-bar linkage definition

I would also recommend you look at the work of Tom Hull and Tomohiro Tachi.

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Permalink Reply by Daniel Piker on September 22, 2009 at 4:01am

oh, and here is a definition for a 'waterbomb base' as shown in this vid

Attachments:

• waterbomb_base.ghx, 354 KB

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Permalink Reply by Peter Muhlebach on September 23, 2009 at 5:56am

Thanks Daniel,

Your blog really helped us get going early in the piece. The waterbomb base is quite useful, esp the collision avoidance. We are still trying to develop a network which might respond to deformation while retaining its strucutral configuration. I made some ground using 3dmax and hinge joints, but would prefer to use grasshopper. I will let you know how we go.

Peter

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Permalink Reply by Anna Katharina Hüveler on April 8, 2010 at 1:04am

Hey Peter,

sounds like I´ve got a similar problem like you. On the basis of the waterbomb pattern I would like to generate several amorphe deformed shapes in grasshopper, while the structure should remain, as you can see in the images.
I´m interested in which way you managed to create such deformed structures?
I tried to rebuil the waterbombpattern with Grasshopper but it did not work well, because of the several angle dependencies and the attempt to box the base geometry on several surfaces wasn´t very sucessful at all. Perhaps you can give me an advice?

Thanks,
Anna

Attachments:

• images_waterbomb.jpg, 508 KB

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Permalink Reply by Ali Tabatabai on September 26, 2009 at 4:15pm

Well, if flat-folded ability is your goal... As I recall, there are 2 rules for creating/analyzing your crease-pattern: 1. defined by the number of mountains and valleys per each vertex and the expression is always: M − V = ±2 and 2. the angles are, if you number each plane divided by your crease-pattern around a vertex cw or ccw like 1,2,3,4... then the sum of the angles of the odd numbers are adding up to 180 deg. and the sum of the angles of the even numbers are adding up to 180 deg. I think this is also the rules and applicable to "flat-folded" tessellation patterns as well.

If you would like to animate/simulate your crease-pattern then you can use this tool: Rigid Origami Simulator by Tachi.

//A

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Permalink Reply by Peter Muhlebach on September 27, 2009 at 10:17pm

Thanks mate,

I have been using the rigid origami simulator quite a bit. I would still like to work out how to acheive a network in grasshopper which acts in the same manner as the rigid origami simulator; i have managed to achieve small scale representation but it is pretty crude. I think i need to reconceive how i go about setting up the initial geometry in relation to overall network. Currently i have to put this research on hold to focus on the architectural proposal for my thesis, but ill let you know if ive had any sucess.

Peter

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Permalink Reply by Ali Tabatabai on October 8, 2009 at 2:26pm

I would like to see what you are doing. Could you post some images?

Any ways, a good reading is a new book just came out: Origami 4

It's heavy stuff but quite interesting as it's a gathering of many experiments and the math behind the scene...

//A

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Permalink Reply by Anna Katharina Hüveler on April 8, 2010 at 6:12pm

Hey Peter,

sounds like I´ve got a similar problem like you. On the basis of the waterbomb pattern I would like to generate several amorphe deformed shapes in grasshopper, while the structure should remain, as you can see in the images.
I´m interested in which way you managed to create such deformed structures?
I tried to rebuil the waterbombpattern with Grasshopper but it did not work well, because of the several angle dependencies and the attempt to box the base geometry on several surfaces wasn´t very sucessful at all. Perhaps you can give me an advice?

Thanks,
Anna

Attachments:

• images_waterbomb.jpg, 508 KB

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Permalink Reply by Peter Muhlebach on August 13, 2010 at 9:13pm

Hey Anna,

Sorry about the delay, I took a little break from Grasshopper/Parametric Architecture. I was never able to resolve the geometry in Grasshopper. In the end i cheated, and applied a component of the geometry to a surface which morphed based on our physical studies. We then took this and tried to develop into architecture. I am just getting back involved again, and trying to build the pine cone. Did you have any success?

The image is a generic application of one component. We broke down the animation of component into 5 different points of time and applied it to the surface depending on whether we wanted a closed or open aperture.

Attachments:

• 01.jpg, 852 KB

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