Have you bought moon cakes to celebrate Mid-Autumn Festival yet? I have not but lanterns I have created for my children are ready. Here is a tutorial guide on the one I have created for Calvin.
To do the cut out for decorating the surface, check out the instruction for creating a Polish Gwiazdy. It is similar to doing a cut out for snowflakes. The design of the one I have pasted on my lantern is cut out from a square piece of paper.
Keep folding the square to cut out a triangular shape, circle or a rectangle. You can also fold it at an angle to cut. Open it up to check how it turn out before deciding if you need to do more cut outs.