Trimagic cube

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In mathematics, a trimagic cube is a magic cube that also remains magic if all of the numbers it contains are squared or cubed.

Only two trimagic cubes are known. The first trimagic cube was found by C. Boyer on February 1, 2003 and is of order 64. This cube and its square are perfect, while its cube is only semiperfect. Two days later, Boyer discovered a trimagic cube of order 256. This cube, its square, and its cube are all perfect.