I understand your meaning, Nngrm, but I've spent the better part of an hour at this point poking at this, trying to draw its shape. I know what it's going to be, but there's not a logical or intuitive way to solve this. The left side is very pretty, but the right side is not solvable. Sorry.
You need to mirror up the edge of the circle on the right side to match the left. Same with the eye. That's all that's inside the circle. The 7 rays mentioned are more like a lion's mane.
Oh, the "rays" are more like... "licks of fire" they look more like petals, for those you don't want to click the link to the solution; Also, thank you very much, Nngrm for sharing the solution. The image is lovely, as I suspected it would be. The second half does not disappoint the imagery set up by the first. If someone works out a way to make a solvable version of this, I would love to see it.
1st at 12 o'clock (top)
2nd at 1 o'clock
3rd at 2 o'clock
4th at 3 o'clock (right)
5th at 4 o'clock
6th at 5 o'clock
7th at 6 o'clock (bottom)
c0 = left
f0 = top
2nd:
c15f5
c16f4
c17f3
c18f3
c19f3
c20f4
c21f5
c20f6
c19f6
c19f7
c18f7
c17f7
c16f7
5th:
c20f15
c21f15
c22f15
c22f16
c23f17
c23f18
c23f19
c22f20
c21f21
c20f20
c20f19
c19f19
c19f18
c18f18
I'm sorry that it was so complicated, I did it with great enthusiasm. :S.
https://s7.postimg.org/u0wxurul7/moonsun.png.