Curious S

I suggest distinguishing between two issues here, whether there is anything encoded on this lid, and what its meaning is if there is. I would put aside the interpretation that its some kind of solar system, and focus on the issue whether it is realistic that this pattern contains any sort of message to be decoded. Akusius, you refer several times to the fact that the pattern in the “control phase” is “well-arranged”. What are the characteristics of this pattern that makes it in your view better arranged than any other possible outcome if you do similar transformations with those three-circled items?