MATHEMATICS AND ORIGAMI

Mathematics and Origami

Let L and l be the greater and smaller side of the rectangle finally obtained in step 5.

In 2 : CB =

2

L

; CB = CD = AD – AC ; AD = 2 ; AC = AE = 1. therefore

2 1

2

= −

L

In 4: FB = l ; FB = HG = AD – 2AH ; AH = HF =

2

L

. So

l = 2 −L

Then,

( ) ( )

()

2

2 2 2 1

2 2 1

2

2 2 1

=

− −

−

=

−

−

=

I L

L

6.6.4 DIN A FROM ANY RECTANGLE

IF AB = 1, then AE = AD = 2

ABCD ≡ DIN A

If a DIN A4 is wanted, AB should measure 210 mm.

6.6.5 DIN A FROM ANOTHER DIN A

A4 ≡ 297 x 210 ≡ 210 2 x 210

A5 ≡

2

297

210 × ≡ 210

2

210 2

×≡ 210

2

210

×

(^45)
A F
B
G
D
H
3
A D
1
B
2
E
C
discard