How to divide a square into thirteenths

oriman 217 · Post by **oriman 217** » February 7th, 2009, 1:16 am

I was wondering how to divide asquare for a model that i'm doing. Does anyone have a method of how to do so

pereze · Post by **pereze** » February 7th, 2009, 2:28 am

Yes, use the Haga Theorems. The Origami Tanteidan website use to have a link here:

http://origami.gr.jp/People/CAGE_/divide/index-e.html

but the information is temporarily removed. Google them and you will find what you need to divide the square into any division.

ftangdude55 · Post by **ftangdude55** » February 7th, 2009, 3:57 am

Or, instead of the Haga therems, punch stuff into Reference Finder, and Voila:

There you go. Thirteenths.

ahudson · Post by **ahudson** » February 7th, 2009, 3:58 am

You've got the wrong link, maybe-- they updated their site and, I guess, changed some things. This link works for me:

http://origami.gr.jp/Archives/People/CA ... dex-e.html

You can also buy Kazuo Haga's book "Origamics", which was recently translated into English. My copy arrived in the mail today, and I look forward to reading it!

Zoraz · Post by **Zoraz** » February 7th, 2009, 4:35 am

For any strange division more than 7ths, I measure. However, if you have reference finder, use it!

Post by **TheRealChris** » February 7th, 2009, 6:44 pm

[img]http://freenet-homepage.de/origamichris/ablage/13th.gif[/img]

insaneorigami · Post by **insaneorigami** » February 8th, 2009, 10:24 pm

For any unusual division, I measure the model in inches, and use a good ol' calculator (and a pencil to make a tick mark marking the area)

Gadi Vishne · Post by **Gadi Vishne** » February 8th, 2009, 11:08 pm

You can use "guess and divide" it's accurate as much as you want.

general method:
step 1: guess where to divide the paper into two parts
step 2: divide the even side into two parts and forget about the old mark
repeat step 2 till it accurate enough.

in our case:
guess where to divide the paper into 6 | 7 - mistake X
divide the even side. now it is: 3 | 10 - mistake X/2
divide the even side. now it is: 8 | 5 - mistake X/4
divide the even side. now it is: 4 | 9 - mistake X/8
divide the even side. now it is: 2 | 11 - mistake X/16
divide the even side. now it is: 1 | 12 - mistake X/32
divide the even side. now it is: 7 | 6 - mistake X/64
divide the even side. now it is: 10 | 3 - mistake X/128
:
:

if your first guess was 10mm away from the correct position, at step 8 your mistake is less than 0.1mm.

BTW - if you started with 30cm paper and your first guess was exactly at the center the first mistake is 11.5mm