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Take an origami sheet and make these creases, exactly in thirds. You may have to measure.
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Now fold in half diagonally both ways, and open.
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Fold along the dotted line to the points as shown, and open.
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Do the same creases but in the other direction.
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Fold the 1/3 portion inwards.
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Using the creases, pull the corner from the point shown down to the other point, and flatten.
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Again using the creases as shown, fold both sides of the top layer to meet at the center crease.
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Unfold and do the same on the other side.
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Move only the inside flap outside to the point as shown.
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Fold this corner down along the crease.
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Your 4-pointed star is ready.