I took a gander at the screens again trying to get a feel for the hex system when I started looking closer at some of the specifics.
If you look closely at the farms, you see that they have extra little farm square outlines that do not seem to be worked, yet still have outlines showing where they would be. Part of the outline even stretches into the cattle pasture. One even seems to stretch into a forest which would be a completely separate hex from the original farm.
1 Look at the farms in this picture. A couple of the farmed hex's not only have little farm outlines stretching into the ocean, but they have clearly marked fields in the middle of a farmed hex that are not being farmed.
Why would that farm have essentially untilled fields while other farmed hexes are being worked at full production?
I would theorize that they are either trying to make farms graphically diverse, or the field looks half worked because it is half worked.
Otherwise, we might be seeing an example of a tile that is only half farmable. Perhaps a single hex could be a combination grassland/swamp hence the hit and miss farmed patches.
2 One of those 5 farms stands out as having a wheat resource on it, yet without showing a big wheat stalk on it. I like it.
3 Take a look at the cultural borders. Notice how the forest in the middle is not in the boundary, yet the hexes that are even further away to the west are part of the territory.
What you have in this screenshot is a likely demonstration that military units can and will expand national borders in Civ 5.
A second possibility would be that perhaps cultural boundaries grow in random directions at smaller increments of culture.
I prefer the first possibility that we can expand borders militarily. About time.
4 There is clearly a worker in this screenshot, no surprise there really.
5 Also what appears to be a barb camp in the far west. Also obviously returning.
1 Notice another example in the far west of a military unit capturing single hexes of territory.
2 Look at how the mountains line up into ranges much more naturally in the hex format. I think we are going to see much better generation of mountain formations that play much better roles in strategic movement.
3 Check out the catapults. Look at their buckets are graphically displayed. All but one catapult seems to have fired it's load at the enemy. It makes me wonder if it is graphically representing the catapults having fired that turn, and if so, then perhaps a catapult that comes in a group of 2 may have 2 shots that might be fired at 2 separate enemies?
More likely they just took that screenshot while the catapult was in it's generic animation, but imagine if you could just glance at your ranged units and see which still need to bombard something this turn.
Going to find the other screenshots tomorrow to see if I can pick out any more details.