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I'm looking for a mathematical parameter that (globally) expresses how well the points are distributed over the space. The parameters should take the X, Y and Z coordinates as inputs. The parameter should return a high value when the points are equally spaced in a grid-like fashion. On the other hand the parameter should return a low value when many of the points are congregated into lumps.

I'm been through all my mathematics books, but I couldn't find a parameter that does this sort of thing. Does anyone here have a solution?