I'm assuming a lot of things here, but trying to visualize some characteristics regardless. What would the skyline look like? Day/night, seasonally, etc.
I'm imagining a structure that is a ring, but spins like a coin; slowly traveling around the sun (so much smaller than a Niven ring world that goes all the way around the entire year-path). I'm not settled on the exact size - but I imagine retaining walls, and more surface area than earth. For simplicity, it would be rotating on the z axis, traveling along the x/y axis around it's sun. I could orient/tilt it such that the shadow couldn't possibly hit the other side, but I don't think this would look as "cool".
Would the other inner edge of the ring be visible at all times? Would it be lit up at night? Would you still be able to see stars while your inner side was facing away from the sun? Would atmosphere impact visibility (like it does with mountain ranges sometimes - where it appears hazy during certain weather). Is there ever a point where the ring casts a shadow on itself? If so, what would that look like to observers on either side of the inner edge? How would things look in a landscape that curved up? Would you be able to see other cities, buildings, etc.?
I'm trying to get a better idea of how to showcase this from the viewpoint of characters living on the surface and what they would notice.
Just to clarify some things about the structure
- Smaller ring that rotates & spins
- Still travels an elliptical "yearly" arc around the sun
- Large retaining walls at the sides to block atmosphere from escape.
- Earth like atmosphere