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How to Divide the Side of Square Paper


N-section using Haga theorems

Using Haga theorems, you can divide into not only 5, but 7, 37, or any number you like. Following table shows the relation of point P and point T. It is common to three theorems in spite of the different folds. Isn't it amazing?

Haga First Theorem

Haga Second Theorem

Haga Third Theorem

AP/AB BT/AB
1/2 2/3
1/4 2/5
3/4 6/7
1/8 2/9
3/8 6/11
5/8 10/13
7/8 14/15
*
*
*
*
n/2r 2n/(2r+n)
The verifications are the same as before.

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by Koshiro