7-Stage Clover Folding (Shuzo Fujimoto)

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7-Stage Clover Folding (Shuzo Fujimoto)

Given that I plan to make a video on a 3-stage clover folding next, I decided I needed to understand the model better. And what better way than to fold a 7-stage clover folding to grasp what it's all about? And this is the result.

Paper size: 19.5cm transparent paper (approx. 7.5in)
Model size: 8.5cm x 8.5cm x 1cm (approx. 3.3in x 3.3in x 0.4in)

The formula for determining which grid to start with depending on how many stages you want to fold is as follows: 6 * (no of stages) - 2
So for a 7-stage tessellation you need a 40-division grid.

Ravi Apte previously compiled this table:

StagesRequired grid divisions
210
316
422
528
634
740
846
952
1058
1164

Comments

what kind of paper?

what kind of paper did u use? up there it says u used transparent paper, but it looks like almost looks like foil....

Pergamyn

I used pergamyn. It's not at all similar to foil.

-- Sara

clover folding

I really appreciate your folding videos, as they are very clear and easy to understand. Could you please do one for folding beyond a 3-stage clover? I would like to know how to create the initial 40x40 (or more) grid and how to add on more levels.
Thank you!

35 or 40 Grid

I'm struggling a bit with the whole concept of the gridding. I find 16 and 64 are quite easy, but how do I go about making a 35 grid? (and for that matter, all others inbetween 16 and 64) I could be missing something really stupid, but I just don't see it yet.
Thanks!

Unusual divisions

A 40 by 40 grid is still quite doable - divide into fifths, and then each of the fifths into eights. A 35 by 35 grid is harder, because both 7ths and 5ths aren't straightforward (esp. on small sizes). In general, you can
(a) fold a bigger grid, and then cut down to the grid required, or
(b) measure the divisions that are hard to make.
I usually just try to avoid the too irregular divisions. For example, I'd avoid a 35 by 35 grid, but I'm fine with a 40 by 40 or 48 by 48 grid.

Hope this helps a bit.

Thanks!

Super! Thanks so much!

More levels

hi Sara
i made the clover folding, but, how can i add more levels?

(sorry, my english is bad) (i'm mexican)

From 3 stages to more

For more stages you have to start with a grid that has more divisions, and therefore more diagonal creases. [I think I might have added double as many diagonal creases than actually necessary. This happens when you experiment...]
You then collapse just like with a 3-stage clover folding. Start from the centre, then do the next iteration of squares as before. The fourth stage is slightly different, but essentially the same. I don't really want to put it in words right now (not that easy to explain), but if you give it a try you'll probably figure it out yourself. That's how I did it, too. Once you know how to fold the fourth stage, it easily generalises to as many stages as you like.
I'll make a video on how to do the 3 stage version, and might also do one on how to make more than 3 stages. It'd just be a small add-on which assumes you already know how to fold 3 stages, but might help those that don't like "fiddling until it works" too much.

Thank you!!!!!

Thank you so much!!!!!
this is my result: http://www.metroflog.com/javierleyva11

bye

Way to go

Nice work!

-- Sara

Samy

Wow !!!

where?

Sara? Where did you find the diagrams for the 3 layered clover folding? i have looked everywhere and i cant find out how to make it. it looks really cool. mabye you could make a video? thanks.

Video

I plan to make a video on this, if all goes well this weekend.

Thanks for the video sara

Thanks for the video sara it's really good like all your other ones, but where did you get the diagrams for this model, and the other two fujimoto models?
Thanks:)

Diagrams

I learnt this model from Ravi Apte. He had photo diagrams on his website, too, but the website disappeared quite a while ago. Recently (after I made the clover folding video) I got a copy of Oru 4, which includes diagrams to those tessellations, and some variations. Unfortunately, it's not easy to come by that publication.

-- Sara