I broke out a roll of paintable wall paper I purchased on clearance a few years ago and covered every side with a piece. Instead of using the wall paper's adhesive, I modpodged the pieces onto the star.
Helpful hint: When working with an oddly shaped piece like this, use a piece of tissue paper to make a pattern so you don't waste any paper.
Finally, I gave it a coat of cream paint to fill in any gaps between the paper.
Now my door looks patriotic without going overboard. I love it!