It looks like a version of a Radiant Star design. I've not seen that particular star. It could have come out of someone's imagination! Or it could be a real star design. I'd check the quilt block libraries for the star design. It probably started as a quilt block somewhere. The person who is most responsible for making the Radiant Star Quilt popular is Eleanor Burns, the "Quilt in a Day" lady. She has a book out called "Radiant Star Quilts". I know I have it, and just tore the house apart looking for it, but can't find it.
Would it be possible for you to make a paper copy -- design it on graph paper -- of this quilt? I've done that. And then using the original, you could enlarge the blocks by however much you need to make a king sized quilt?
Write if you need more information on how to re-create the design.
Cheers!