TO make, by cutting and folding, a regular nonagon, a nine-pointed star, a nonafoil, and a nine-leaved rosette, from a square, circle, or any regular or irregular plane figure.

The Square

Fig I

Fig 2

Fig 5

Beginning with the square, fold I on 2, and crease with the thumb-nail.

To obtain Fig. 3, divide the 1800 fold into two and a fourth parts, and fold the right part on the adjoining one, folding from o in Fig. 2. For Fig. 4, reverse the position of the fold, making the back face, the front face, and fold the remaining fourth part over the other fold. For Fig. 5, bisect Fig. 4 by folding 1 on 2, placing the left half under the right half. For Fig 6, bisect Fig. 5 by again folding 1 on 2, and placing the left half under the right half.

The Regular Nonagon

Fold to Fig. 5, and cut from 1 to 2. Points 1 and 2 are equally distant from o.

The Nine-Pointed Star

Fold to Fig. 6, and cut from 1 to 2. Point 2 is nearer to o than to 3.

The Nonafoil

Fold to Fig. 6, and cut from I to 2. The arc 1-2 is a quadrant with 3 as centre.

The Nine-Leaved Rosette

Fold to Fig. 6, and cut from 1 to 2.