Is there any reason* neighbors could not build adjoining Sukkoth?

What I mean is, suppose there were four** row houses, which shared an open patio/courtyard with four** row houses behind them, and this open courtyard could be divided into about a 12x15'** section for each home. Could these neighbors pool their resources together to build adjoining Sukkoth, each sharing a wall (and perhaps even a door) with at least two neighbors?

*I mean any Halachic reason; let's assume all the neighbors are great friends.

**I picked a random number.

(Illustration interpreted from question text)

• So you're asking if the individual sukkot are valid even if the whole is not valid as a single sukkah? (If the whole is valid, then seemingly internal divisions wouldn't matter.) – Monica Cellio Sep 17 '13 at 16:47
• @MonicaCellio I think an answer could address whether the whole thing is valid as one sukkah, valid as 8 sukkot, or invalid. Perhaps there is no distinction between "valid as (one/four)" – Daniel Sep 17 '13 at 17:13
• – Isaac Moses Sep 17 '13 at 18:45
• @AL, that works. (Also, it was just an example. It could be about any adjoining Sukkoth.) – Seth J Sep 17 '13 at 19:39
• @SethJ Not like I looked this case up anywhere, but I can't imagine why they would be invalid just because they're touching. For example, a sukkah can use a house as a third wall with no concern, why should this be different. Is there another aspect to the question that you're concerned about? – A L Sep 23 '13 at 22:00