When I was considering it, I imagined it as having a fairly high relative velocity compared to the surrounding stars; It requires a stupid amount of mass to construct, and bringing mass up to some velocity just to match its vector as it goes by is probably easier than bringing it up to some velocity for shipment, waiting years while it gets there, and then slowing it down again on the far end. So during the (LONG) course of planned construction you get to draw on the resources of a few thousand solar systems where the Rogue Ring is going to be passing within half a lightyear, but without making it necessary to fully deplete them.
The 'big score' in terms of construction material would be a course that passes by several young stars with dense accretion disks. Depleting them to the point of being "ordinary" habitable star systems could be a mutual win for both the builders and real estate developers who'd be, up to that point, too worried about dynamical and navigation hazards to build anything.
Anyway, take whatever you consider a "normal" speed for in-transit interstellar shipments of building material, and posit that the Rogue Ring under construction is moving maybe 150% that fast. - As a compromise between 'we save about 33% of the delta-vee we'd normally use on shipping, in exchange for 50% extra speed bringing us near more places where we can get building material.'
And, if high relative velocity is a feature of the construction method, then we can imagine it as something that's intended to go someplace or traverse some space - it could be 'the million-year tour of the Galaxy' or depending on the builder's degree of ambition 'the intergalactic ISO,' but whatever it is, it should be fairly clear that it's "outbound" in the sense that by the time it's built it's going to be traversing places that weren't Terragen space when its construction began.
The 'big score' in terms of construction material would be a course that passes by several young stars with dense accretion disks. Depleting them to the point of being "ordinary" habitable star systems could be a mutual win for both the builders and real estate developers who'd be, up to that point, too worried about dynamical and navigation hazards to build anything.
Anyway, take whatever you consider a "normal" speed for in-transit interstellar shipments of building material, and posit that the Rogue Ring under construction is moving maybe 150% that fast. - As a compromise between 'we save about 33% of the delta-vee we'd normally use on shipping, in exchange for 50% extra speed bringing us near more places where we can get building material.'
And, if high relative velocity is a feature of the construction method, then we can imagine it as something that's intended to go someplace or traverse some space - it could be 'the million-year tour of the Galaxy' or depending on the builder's degree of ambition 'the intergalactic ISO,' but whatever it is, it should be fairly clear that it's "outbound" in the sense that by the time it's built it's going to be traversing places that weren't Terragen space when its construction began.