Divide A Diagonal Into Thirds

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dinogami
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Divide A Diagonal Into Thirds

Post by dinogami »

This is probably a stupid question, but: is there a way, other than eye-balling it, to divide the diagonal of a square into thirds? I've seen plenty of great techniques for dividing a horizontal into thirds, fifths, etc., but nothing similar for the diagonal. Has anyone developed similar fold-only techniques for this?
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Trouble
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Re: Divide A Diagonal Into Thirds

Post by Trouble »

I use the normal 3rd method of connecting a corner with a 1/2 pinch mark where it crosses the other diagonal is 1/3
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haomaru87
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Re: Divide A Diagonal Into Thirds

Post by haomaru87 »

hmm, im interested to kno as well. Will you give us more explanation Trouble? =)
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FlareglooM
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Re: Divide A Diagonal Into Thirds

Post by FlareglooM »

Image

In the last pic, the upper left corner is 30 degrees/60 degrees. You only have to fold the right part of the angle in half to get a trisected angle.

Maybe Reference Finder is something for you (requires some knowledge about math for the more complex references)

Edit* : Hmm just noticed that this might not answer your question :\. Though dividing the diagonal into thirds is the same as dividing the square into thirds as far as I know.
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polistes
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Re: Divide A Diagonal Into Thirds

Post by polistes »

solved it picture on my flickr
TheRealChris
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Re: Divide A Diagonal Into Thirds

Post by TheRealChris »

Image
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dinogami
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Re: Divide A Diagonal Into Thirds

Post by dinogami »

Interesting! I was in the process of making Kawahata's Stegosaurus, and the first step is to divide a diagonal in thirds. I was wondering how to do it without making the horizontal one-third creases first because the model doesn't call for them otherwise. I was just curious if anyone had worked out a similar system of pinching landmarks for a diagonal as well as a horizontal. Of course, I could have used the horizontal pinch system and them made additional pinches for the diagonal, but was curious if there was another way. Thanks, all!
cjbnc
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Re: Divide A Diagonal Into Thirds

Post by cjbnc »

Fujimoto's approximation method would also work. You wouldn't need marks on the sides, but you'd probably have a few extra marks on the diagonal near the correct location.

http://www.envelooponline.com/nan/archi ... explained/
origami_folder4
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Re: Divide A Diagonal Into Thirds

Post by origami_folder4 »

Does anyone know how to do this with fifths?
bethnor
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Re: Divide A Diagonal Into Thirds

Post by bethnor »

one could do this forever, really. purism is overrated. just use a protractor and ruler. dr. lang himself does.
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