Paper Cutting Collection

Original Illustration

from Kanyia Otogi Zoshi

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Kanjya Otogi Zoshi

 

The problems in this collection appeared in Nakane Genjun's book 

Kanyia Otogi Zoshi (the Collection of Interesting Things in Mathematics) published in Japan in 1743. The text included 69 problems of recreational mathematics.

Source: Sacred mathematics: Japanese Temple Geometry by Fukagawa Hidetoshi and Tony Rothman (2008).

Original Illustration

from Kanyia Otogi Zoshi

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A Rectangle of 2

 

Screenshot 2022-02-22 213003.png

Take a rectangular piece of paper composed of two unit squares. Fold it or cut it to create a square of side length      . 

Screenshot 2022-02-22 211026.png

A Rectangle of 3

 

Screenshot 2022-02-22 212521.png

Take a rectangular piece of paper composed of three unit squares. Fold it or cut it to create a square of side length      . 

Screenshot 2022-02-22 211707.png

First Rectangle of 5

 

Screenshot 2022-02-22 215904.png

Take a rectangular piece of paper composed of five unit squares. Fold it or cut it to create a square of side length      . 

Screenshot 2022-02-22 213020.png

Second Rectangle of 5

 

Screenshot 2022-02-22 215841.png

Take a rectangular piece of paper composed of five unit squares. Fold it or cut it to create a square of side length      . 

Screenshot 2022-02-22 213020.png

Third Rectangle of 5

 

Screenshot 2022-02-22 215402.png

Take a rectangular piece of paper composed of five unit squares. Fold it or cut it to create a square of side length      . 

Screenshot 2022-02-22 213020.png