MATHEMATICS AND ORIGAMI

(Dana P.) #1
Mathematics and Origami


  1. Fold 5 to get
    7


2
a= which in turn produces
7

1


  1. Copy and rotate 5 to get 6 which shows
    7


1
x=


  1. That square 6 is set apart in fig 4, displaying
    7


1
x= ; by folding, we get
4

1
8

2
a= =


  1. Finally, folding over
    4


1
, we get
2

1
(within the ellipse).

Till now we have gone the reverse way: we began with
37


1
to arrive to
2

1

. Therefore the di-


rect way will be the reverse of the reverse, beginning with
2


1
:

1 Get
2


1
,
8

2
4

1
= on the left side of 6.

2 Fold 6 in such a way that its right lower vertex lies on upper side while the lower side lies


on
8

2
a=. So we get
7

1
x=.


  1. Copy 6 in 5 rotating 90º anticlockwise.

  2. In 5, fold
    7


1
to get
7

2
a= on left side.


  1. Fold square 5 in such a manner that its right lower vertex lies on upper side while lower


side lies on
7

2
a=. So we get
6

1
x=.


  1. Copy 5 in 4 rotating it 90º anticlockwise.


11

10

1

1 37

6


6
1

1

19
7

1

1

2
8

1
4

2

(^14)

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