MATHEMATICS AND ORIGAMI

Mathematics and Origami

• And the forth vector: [(4,3a) → (4,4a)] (which gives the axle 2a,X)

a D

I

C

1 2 3 4 5

A

4a

2a

3a

B

Y

F

O

X

2

The only thing left now is to fold simultaneously Initial

point I over OY and Final point F over OX.

There are three solutions for t, of which, only one is ac-

ceptable. Other gives a negative angle and the third gives an

angle greater than the given one.

Fig. 3 shows the final solution to be completed with a

pleat fold of the angle α within 3α.

a D

I 1 C (^2345)
A
O
3
4a
2a
3a
F
X
B
Y