I googled broken star quilt pattern and there were lots of hits. It seems, however, that the quilt name 'broken star' is used for several different quilt patterns. If you could post a link to a picture of the one you are after (not the picture itself), someone may be able to provide pattern info. here's a free pdf for one:
http://www.plumcreekquilts.com/Broke...ern%20Sets.pdf