The largest possible “no set” is 20. I’ve seen this statement in many places, I haven’t seen a proof. So I assume there is no “easy” proof.

]]>In this hypercube, all of the broken diagonals are sets, also. Is this true in all set magic hypercubes? If so, then is every set magic hypercube an affine transformation of this, most basic one?

(I think the answer is “yes” to both.)

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