TO make, by folding and cutting, a regular pentagon, a five-pointed star, a cinquefoil, and a five-leaved rosette, from a square, a circle, or any regular or irregular plane figure.

The Square

Fig I

Fig 3

Fig 4

Fig 5

Beginning with the square, Fig. 1, fold 1 on 2, and crease with the thumb-nail, thus obtaining Fig. 2, To obtain Fig. 3, divide the 1800 fold into two and a half parts, and fold the right part on to the adjoining one, folding from o in Fig. 2. For Fig. 4, reverse the position of the fold, making the rear face the front face, and fold the remaining half part, seen in Fig. 3, over the other fold. For Fig. 5, bisect Fig. 4, folding the left half under the right half.

The Regular Pentagon

Fold to Fig. 4, reverse the position of the fold, and cut from 1 to 2. Points 1 and 2 must be equally distant from o.

The Five-Pointed Star

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

The Cinquefoil

Fold to Fig. 5, and cut from 1 to 2. Point 2 is the tangential union of the semicircle and the line 4-0. The arc 3-2-1 is a semicircle with its centre on the line 1-0.

The Cinquefoil

Fold to Fig. 5, and cut from 1 to 2. The arc 4-1 should be a quadrant with 3 as centre, and the line 2-4-3 should be at right angles with the line 1-0.

The Cinquefoil

Fold to Fig. 5, and cut from 1 to 2. The arc 2-1 should be a quadrant with 3 as centre.

The Circle

Fig. I

Fig. 2

Fig. 3

Fig. 4 Fig . 5

Five-Leaved Rosettes

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