[ChrisV]

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It looks to me that a lot of this flawed. First of all, there aren't 9! arangements per face because of the physical constraints of the rubik's cube (e.g. the 9 could never be in the middle position).

Edit: In your 2nd post you made the same mistake of ignoring the physical limitations of the cube. Each face is not independant of the rest.

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Yeah, I think this is going to reduce a lot further. Looking at the cube, the 5 being in the center of every face is not the only restriction. There's other stuff like the fact that the 4s are, as far as I can tell, always on edge cubes, while 1s and 7s are always on corner cubes. Yes?

This is going to drastically cut down how many ways the cube can be arranged.