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Why not in groups of three?

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There's probably a good reason for this, but it occurs to me to ask why the diagram is ordered in this way, rather than in four groups of three, each group having the three possible permutations with the face pointing to the left staying fixed (e.g., with the red face pointing to the left)? Λυδαcιτγ 12:42, 25 May 2014 (UTC)[reply]