This section is from the book "Paper Folding And Cutting", by Katherine M. Ball. Also available from Amazon: Paper folding and cutting.
TO make, by folding and cutting, a square, a circle, a regular octagon, a four-pointed star, an eight-pointed star, a quatrefoil, an octafoil, a four-leaved rosette, an eight-leaved rosette, from a square, circle, or any regular or irregular plane figure.

Fig. l




For Figs. 2, 3, and 4, fold 1 on 2, and crease with the thumb-nail. For Fig. 5, bisect the angle at o in Fig. 4, and fold.
Fold to Fig. 4, and cut from 1 to 2. Points 1 and 2 are equally distant from o.

Fold to Fig. 4, and cut from 1 to 2. Point 2 is a bisection of 3-0.

Fold to Fig. 4, and cut from 1 to 2. Points 1 and 2 are equally distant from O.

Fold to Fig. 4, and cut from 1 to 2. Point 1 is a bisection of 3-0-.

Fold to Fig. 5, and cut from 1 to 2. Point 2 is nearer to 3 than to o.


Fold to Fig. 4, and draw on the fold a semicircle, and cut from 1 to 2. Point 1 is the tangential union of the semicircle and the line 3-4.

Fold to Fig. 5, and draw on the fold a semicircle, and cut from 1 to 2. Point 2 is the tangential union of the semicircle and the line 3-0.
Fold to Fig. 4, and cut from 1 to 2.








Fold I on 2, and crease with the thumb-nail.

Fig. I


Fig 3

Fro 4
FIg,5
For the square, fold to Fig. 3, and cut from 1 to 2. For the octagon, fold to Fig. 4, and cut from 1 to 2. For the four-pointed star, fold to Fig. 4, and cut from 1 to 3. Point 3 is obtained by trisecting 2-0.

Fold to Fig. 4, and cut from 1 to 2.




Fold to Fig. 5, and cut from 1 to 2.




 
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