Sisiutil
All Leader Challenger
Tile improvements around a science city are primarily cottages, to maximize its commerce output; the science slider then determines how much of that commerce gets converted into research.wohoo! this thread is a lifesaver.
ok, so if you have a city specialized for research, what sort of improvements do you want to do to your tiles? I am not sure if more cottages or more factories are generally better.
I am thinking you would just want a general all purpose city with whatever wonders/buildings that let you make scientist citizens. But then again, I don't know
edit: oh, and another question, when your cultural boundaries start to munch into an opponents fat cross, they loose production and you may get some resources, but other than that, you don't get the gold off a town or anything, right?
However, you also need to have some tiles providing additional food so you can run science specialists, which will usually provide more research than a citizen working a town, especially under the Representation civic. Furthermore, you'll need some production tiles in order to get vital infrastructure built (a library, university, observatory, and Oxford University--and potentially wonders such as the Great Library and Sankore University). Keep in mind that you can swap your citizens around between different tiles and being specialists based upon what the city is doing. For example, when I'm building the Great Library or Oxford University, I'll often put my scientists to work on production tiles to accelerate the build.
Claiming tiles from a rival civ depends upon their location. If the rival city is close enough so that your fat cross overlaps with theirs, you can indeed gain from their tile improvements such as mature cottages. If the tiles you claim are outside of any city's fat cross, however, the benefits are usually limited to resources and irrigation paths. If you claim enough tiles from a neighbour, you may want to consider founding a city in their midst so you can take advantage of them--and create more cultural pressure.