Two sides; the outer half-torus and the inner half-torus facing the star would be sunlit. Place in goldilocks zone, spin it, add moons to taste. Of course, the moon(s) could orbit in a figure-8 or infinity pattern by going through the hole in the middle, rather than a circular or elliptical pattern.
edited 15th Jun '14 12:50:14 AM by dvorak
Now everyone pat me on the back and tell me how clever I am!The middle(inner part) would never have a real day if the axial tilt is 0$. A few degrees (18$ on earth) beyond the sun facing side would get twilight due to atmospheric refraction. The inner side that's facing towards the sun but is shadowed by the torus itself would probably see and be lighted by this twilight. Possibly a dim red light or maybe a kind of rainbow effect.
Wtf? $ (dollar) instead of $ (degree)?
edited 15th Jun '14 5:44:16 AM by m8e
Hmm would this sort of world be able to support oceans?
Is it a Ring World Planet with people living on the inside? If it is, it's impossible to make anything big enough to have oceans(unless "Magic!"). If not, the whole concept is pure fantasy and anything could happen.
I was thinking, perhaps the world might be more workable as a terrestrial moon of a large gas giant. I imagine the inhabitants would have two years, one for their rotation around the giant and a longer one for the giant's rotation around the sun.
I'm working on a fantasy project involving a doughnut shaped planet, basically I'm trying to come up with semi-logical way for it too have a day/night cycle and what kind of relationship it could have to its star and any satellites.