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[Alex Encandar]

So I'm trying to figure out a good system to calculate how much space is used if I have a support grid of 1 pillar every 6 squares in any direction (the minimum in other words)

I know it wouldn't be perfect since I'm assuming the dimensions of the room in question is perfectly layed out, but would total area/49 = x, total area -x = correct area, make sense? Thanks.

total area/49 = x
total area -x = real area

[cbfog]

Unless you're doing it for purely aesthetic reasons, which I would assume you're not seeing as how you're trying to devise an equation for total space lost to pillars... just don't use them at all. In the current version nothing will cave in if it is connected in any way to any other tile contiguous with a stable structure. Meaning you could theoretically mine out a 100x100 portion of terrain and hold it all up with a single pillar since the pillar is built on a stable tile below it.

[Tamren]

Not theory, it works. You don't even need pillars, one square of built floor will support an undermined mountain.

You can even turn collapses off and have a floating UFO fortress.

[bartavelle]

If it is a rectangular area, you will require ceil(xsize/6) squares on the x axis, and ceil(ysize/6) for the y axis. You will waste ceil(xsize/6)*ceil(ysize/6). This seem obvious so I might have missed the point of your question ...