I suspect that it doesn't if you look closely at it (either that or they just stupidly used a stock photo of a random pattern).

We are super good at noticing patterns though so even if they aren't 100% identical our brains will interpret it as a pattern. I'm pretty sure this mathematical breakthrough isn't going to be super useful for decorational purposes.

There's this and also time. Advanced civilisations could have risen and perished in billions of years. It only took us something like a billion years from simple multi-celled organisms to space flight. And it's really a tiny speck of time we've been sending out radio waves or anything that might be picked up by someone.

There could have been inhabitants a couple of solar systems over and we'd probably never know (at least not yet).