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Barkley said:

Erm... What about Elite?

Freelancer?

X?

Evochron Legends?

Spore?

and as the above said Eve Online, heck even Star Trek Online has a big open galaxy.

our galaxy has around 300 billion stars and atleast around 180 billion star systems (most star systems have 2 suns), now the Milky Way is one of the larger galaxies in the observable space, so let's say an average galaxy has around 100 billion star systems

based on that number, how many of the games you suggested are anywhere near big enough to be called "open galaxy" ?

No Man's Sky reportedly has 2^64 planets and if we assume an average of 10 planets per star system (average should be waaay lower though, as by today's knowledge planets are expected to be extremely rare in binary star systems) that means there's about 1,800,000,000 billion(1.8 x 10^18) star systems in that game, extremely much bigger than our own galaxy and worthy of the title "open galaxy"