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What's the size of smallest cube containing 5 unit cubes? Is there a way to generalize result for 5?

I'm more interested in proving minimality, than actaully calculating the size, though.

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    Not really. My only thought was finding the smallest cube larger than the given number of unit cubes...2011-10-16

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The generalization may still be an open problem. See Erich Friedman's Cubes in Cubes.

"For all other values of n < 34, the trivial packing is the best known."

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    No, he should have explicitly wrote that if that's what was intended.2011-10-16