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Sep
17
comment Is the layout of Burning Man's city “grid” optimal?
As I edited the question to say, the section taken out of the actual city map is not germane to the question—it is effectively a disc already. What you're saying is you agree with my intuition, I'm really looking for a (reference to a?) proof that the intuition is correct.
Sep
10
comment Is the layout of Burning Man's city “grid” optimal?
@Dan: you're close, the question is more like if we drop the constraint of the semi-annular shape, keeping the habitat area constant and adding whatever length of road necessary, is there a shape that gives us the smallest expected distance between any two given habitats.
Sep
10
comment Is the layout of Burning Man's city “grid” optimal?
I'm not a mathematician so I wasn't sure which tag might be appropriate and both the above sounded like they were in the ball park. Please feel free to re-tag. I've updated the question to include some constraints.