Trimagic Cube

A trimagic cube is a magic cube that remains magic when all its numbers are both squared and 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 (Heinz, Boyer).

See also

Bimagic Cube, Magic Cube, Multimagic Cube, Tetramagic Cube, Trimagic Square

Explore with Wolfram|Alpha


Boyer, C. "Multimagic Cubes.", H. "Multimagic Cubes."

Referenced on Wolfram|Alpha

Trimagic Cube

Cite this as:

Weisstein, Eric W. "Trimagic Cube." From MathWorld--A Wolfram Web Resource.

Subject classifications