From the Origami-instructions website, www.origami-instructions.com. Used with permission.

For swan:

Fold the paper along one diagonal, then unfold it.

Now fold the lower edges of the square into the centerline as shown. This is your kite base. Flip the kite base over.

Next make a double fold as shown. Repeat on the other side.

Fold the point of the piece upwards. Then fold the head of the swan downwards. Next, fold the swan in half as shown.

Pull the neck of the swan away from the body, and unfold the head and body.

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