I printed out the pic. First thing to do is to draw another circle just inside the brown/blue circle that hits the ends of the diamonds in that circle and the outer ends of the main pattern diamonds. Won't be a true circle, you can see the actual pattern more clearly..
Then roll the pic until you have an even plane across the center. It might even help to cut the outer circle off so the inner 8 star pattern with the other squares are more visible.
the easiest way to construct the blue/brown, with white, star is with half square triangles. It's not a carpenter's star ------------but a very close relative.