Multimagic Square

A Magic Square is $p$-multimagic if the square formed by replacing each element by its $k$th power for $k=1$, 2, ..., $p$ is also magic. A 2-multimagic square is called a Bimagic Square, and a 3-multimagic square is called a Trimagic Square.

See also Bimagic Square, Magic Square, Trimagic Square

References

Kraitchik, M. ``Multimagic Squares.'' §7.10 in Mathematical Recreations. New York: W. W. Norton, pp. 176-178, 1942.