A magic cube is a 3dimensional array of the numbers [tex]1,2,3,....,n^3 [\math] such that each row and column and diagonal sum to the same number called the magic sum.

Prove (or disprove) that a 4th order magic cube exists (n=4).

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- March 5th 2011, 10:46 AMChris11Order 4 magic cube
A magic cube is a 3dimensional array of the numbers [tex]1,2,3,....,n^3 [\math] such that each row and column and diagonal sum to the same number called the magic sum.

Prove (or disprove) that a 4th order magic cube exists (n=4).