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Fold napkin in half
Keep accordion folding...
till just over the half way mark
Fold in half again
(If napkin is folded in half with folds on the inside, it won’t open.)
Fold napkin at an angle
Tuck the remainder under the napkin
Open accordion folds like a fan.
To fold napkins like this, 1) fold them in half to form a rectangle, 2-3) accordion fold till just past center, 4) fold in half so all the folds are doubled up. 5-6) fold the non-accordion end in a triangle to hold the rest, 7) put it on the plate and let go. The pleats should fall open into a fan. If they don’t, you folded it in half the wrong way--the accordion pleats have to be on the outside. It works with paper napkins, too.
Easter Centerpieces > How to fold a fan napkin