This is by far the pointiest of point folds!
(Or at least the pointiest version that gets used regularly. In theory, you can fold corners over as many times as you want, but it can really start to look ridiculous and you run out of pocket room after a while.)
This one is actually a bit easier to keep neat, compared to the three-point fold, since all the folding is symmetrical.
It also finishes with the outside points angled slightly away from each other, giving it a nicely framed look.
The Four-Point Pocket Square Fold: Step 1
Begin with the pocket square fully unfolded and flat.
The Four-Point Pocket Square Fold: Step 2
Fold the square diagonally down the middle, bringing one corner across to meet the opposite corner.
Angle the fold very slightly off-center, so that one corner lies just to the left of the other. The two offset corners will be two of the four visible points of the fold, so adjust them to the desired gap.
The Four-Point Pocket Square Fold: Step 3
Bring the bottom left corner diagonally up across the fold, finishing with the point of the corner to the right of the top two corners. All three should line up neatly, as close to even spacing and equal size as possible.
The Four-Point Pocket Square Fold: Step 4
Repeat the process with the bottom right corner, bringing it up and across so that it forms a final point to the left of the others. Adjust as needed to make all four points roughly the same size, with equal spacing between them.
The Four-Point Pocket Square Fold: Step 5
If the finished, folded shape is not small enough to slide comfortably into a jacket pocket at this point, fold the outside edges inward, tucking them below the four points that will form the visible, decorative part of the square.
Four-Point Pocket Square Fold – Final Step
The finished shape of a Cagney or Four-Point fold has a slightly origami look: a long, dagger-shaped point at the bottom, folded at the top to produce a spreading bunch of four small triangular points.
Tuck the long part into the jacket pocket and snug it down until only the four tips are visible. The outermost two should spread away from one another, framing the two center points.
Don't feel bad if this one takes you a couple tries. It works best in a fabric that is both thin and stiff, like a starched linen. Too thick and it forms a noticeable bulge after all the folding is piled up; too soft and the points won't hold. Wear it with care!