MATHEMATICS AND ORIGAMI

Jesús de la Peña Hernández

2. Then, the square is folded like in figs 1 and 2 (these operations are not shown in fig 3) to

get

19

1

38

2

a= =

3. Copy square 1 to position 2 rotating it 90º clockwise. In that rotated square 2 appears

19

1

x=. You may note that in each square, former divisions are kept (

37

1

in this case).

4. Fold square 2 to get
   10

1

20

2

a= =

5. Copy and rotate 2 to position 3 in which appears
   10

1

x=

6. Fold 3 to get
   11

2

a= ; folding

11

2

in halves, we get

11

1

7. Copy and rotate 3 to get 4, in which
   11

1

x= appears.

8. Fold 4 to get
   6

1

12

2

a= =

9. Copy and rotate 4 to get 5 showing
   6

1

x=

1 2 a b

e

f

d

x c

y z

x

37

2

38

1

19 19

1

2

20

1

10

90º

90º

1

37

1

37

1

1

10

1

19

2

11

1

11

1

2

3

11

1

10

191 1

37

1

4

90º

2

12 6

1

5

90º

1

37

1

6

19

1

10

1

11

1

2

7

90º

7

1

1

19

7

1

6

10

1

1

11

37

1

6

1

A B

3