Oh yeah, that's the exact pattern I was working on, when I "saw" the different hexagon. The pattern is called Carpenter's Wheel. Or at least, that's a variation of it.
There's also a special name for how the quilt in that image is quilted. I can't think what it is, but it's not very common (at least not in the US).
Oh well, thanks anyway. Maybe I'll invent my own pattern. If I don't find this pattern anywhere else, maybe I'll call this "brynn's puzzle". Or maybe I'll put points on it, and call it "brynn's star"?