All I know of this topic I've gleaned from this board over the years. Lots of good advice as reiterated above.
Don't hunt alone much, but when I do I try to have the downwind direction in the center of my rifle-swinging arc of fire. I keep my head very slowly moving to cover the crosswind (90 degrees each side of downwind) angles so I can at least see nearly 180 degrees of arc from crosswind to crosswind and downwind. I figure a dumb one might come running in from upwind (first one I ever shot came straight crosswind), but that the odds favor one slinking past me trying to get to the downwind side (this happened just last week). The idea is as stated above, shoot the bugger before he gets to where he can wind you.
I have two friends I hunt with (separately). One is a right-hander like me, the other left-handed. The righty guy and I try to sit facing each other, slightly displaced sideways, so we can easily see each other in case one of us has to signal the other (really wide eyes means a 'yote is about to jump on your back!). One gun faces downwind, one upwind, and we can cover pretty near the full circle.
With the lefty, we sit more side-by-side, facing opposite (me to the left, him to the right), getting coverage from crosswind to downwind, with both of us overlapping the downwind direction. With a little pivoting on our rear ends we can get the muzzle facing somewhat upwind. We can cover each other's backs pretty well here, but the downside is we can't communicate by looks at all. Again, the main thing is to try to nail the dogs before they get straight downwind.
One other aspect of this not related to the wind is whether or not, in conditions of mixed cover and open, to have an opening or cover to the straight downwind side. Some folks say that predators prefer to slink around in cover as they approach the sound or scent direction and will be more likely to come in that way as opposed to running into the open to get your wind. An obvious exception is when you're in a wide open area calling into cover like a brushy stream bed trying to get something to come out; then you want of course to stay crosswind to downwind from the cover. In any event it seems you want to try to give them some approach angle that lets you see them and shoot them before they wind you.
It seems to me that this bit of setting up just so on a stand with considerations of wind applied to use of cover/openings is the real art of the sport. Now if I could just learn to do it right...and oh yeah, learn to stop fidgeting on stand too...not to mention hit what I shoot at..then I'll have it licked! ;-)
