Fold the paper in half downwards to make a triangle. Next, fold in half again horizontally, and unfold right away.
Fold the corners down to meet at the bottom tip.
Fold the two tips up to meet at the top.
Fold the two corners outward just a bit.
Fold the front of the bottom corner up, but don't make it go all the way to the top.
Fold the remaining edge upward to form an extra strip at the center of the figure.
Fold the bottom of the paper back behind the figure.
At this point you have completed one origami figure, the soldier's helmet. Now insert your fingers into the helmet and fold it so the two side corners meet.
Cut an opening along the bottom right of the figure. Don't cut all the way to the side corner!
Make a line by folding and then unfolding.
Fold the flap on the right side down to form the tail fin of the fish.
Your goldfish is complete!