> Anyway, for some reason they implicitly choose our point of view as the "interesting one", funny (/s, actually lame and sad) to see the geocentric model is still alive after two millennia!
> They also didn't check if other stars would form circles from any arbitrary point of view (how many circles are actually up there, not just the apparent ones),
I think (not sure of the proof) that any set of points that form a circle from a specific PoV would, from any arbitrary PoV form a regular shape (ellipse) or a straight line.
So we can probably tell if any group of stars/galaxies/bright-lights-in-the-sky form a "structure" (i.e. a regular shape).
> They also didn't check if other stars would form circles from any arbitrary point of view (how many circles are actually up there, not just the apparent ones),
I think (not sure of the proof) that any set of points that form a circle from a specific PoV would, from any arbitrary PoV form a regular shape (ellipse) or a straight line.
So we can probably tell if any group of stars/galaxies/bright-lights-in-the-sky form a "structure" (i.e. a regular shape).